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1052414300 = 225277919031
BaseRepresentation
bin111110101110101…
…001000101011100
32201100022012000102
4332232221011130
54123404224200
6252232520232
735036242160
oct7656510534
92640265012
101052414300
114a0073493
12254550078
1313a05c472
149dab2ca0
15625d66d5
hex3eba915c

1052414300 has 72 divisors (see below), whose sum is σ = 2643164160. Its totient is φ = 356241600.

The previous prime is 1052414287. The next prime is 1052414309. The reversal of 1052414300 is 34142501.

It is a super-2 number, since 2×10524143002 = 2215151717688980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052414309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45785 + ... + 64815.

Almost surely, 21052414300 is an apocalyptic number.

1052414300 is a gapful number since it is divisible by the number (10) 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 1052414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321582080).

1052414300 is an abundant number, since it is smaller than the sum of its proper divisors (1590749860).

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

1052414300 is a wasteful number, since it uses less digits than its factorization.

1052414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1052414300 is about 32440.9355598756. The cubic root of 1052414300 is about 1017.1747718485.

Adding to 1052414300 its reverse (34142501), we get a palindrome (1086556801).

The spelling of 1052414300 in words is "one billion, fifty-two million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2765 3950 5530 7900 11060 13825 19031 27650 38062 55300 76124 95155 133217 190310 266434 380620 475775 532868 666085 951550 1332170 1503449 1903100 2664340 3006898 3330425 6013796 6660850 7517245 10524143 13321700 15034490 21048286 30068980 37586225 42096572 52620715 75172450 105241430 150344900 210482860 263103575 526207150 1052414300