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1052300424 = 233737414129
BaseRepresentation
bin111110101110001…
…101010010001000
32201100002101210210
4332232031102020
54123342103144
6252230241120
735035256160
oct7656152210
92640071723
101052300424
1149aaa597a
122544b61a0
1313a01c696
149da835a0
15625b2ab9
hex3eb8d488

1052300424 has 128 divisors (see below), whose sum is σ = 3163910400. Its totient is φ = 285327360.

The previous prime is 1052300419. The next prime is 1052300471. The reversal of 1052300424 is 4240032501.

1052300424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10523004242 = 2214672364701159552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1052300424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252792 + ... + 256920.

It is an arithmetic number, because the mean of its divisors is an integer number (24718050).

Almost surely, 21052300424 is an apocalyptic number.

1052300424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581955200).

1052300424 is an abundant number, since it is smaller than the sum of its proper divisors (2111609976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1052300424 is a wasteful number, since it uses less digits than its factorization.

1052300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1052300424 is about 32439.1803842206. The cubic root of 1052300424 is about 1017.1380828841.

Adding to 1052300424 its reverse (4240032501), we get a palindrome (5292332925).

It can be divided in two parts, 1052 and 300424, that added together give a triangular number (301476 = T776).

The spelling of 1052300424 in words is "one billion, fifty-two million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 41 42 56 74 82 84 111 123 148 164 168 222 246 259 287 296 328 444 492 518 574 777 861 888 984 1036 1148 1517 1554 1722 2072 2296 3034 3108 3444 4129 4551 6068 6216 6888 8258 9102 10619 12136 12387 16516 18204 21238 24774 28903 31857 33032 36408 42476 49548 57806 63714 84952 86709 99096 115612 127428 152773 169289 173418 231224 254856 305546 338578 346836 458319 507867 611092 677156 693672 916638 1015734 1069411 1185023 1222184 1354312 1833276 2031468 2138822 2370046 3208233 3555069 3666552 4062936 4277644 4740092 6263693 6416466 7110138 8555288 9480184 12527386 12832932 14220276 18791079 25054772 25665864 28440552 37582158 43845851 50109544 75164316 87691702 131537553 150328632 175383404 263075106 350766808 526150212 1052300424