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1052001240 = 233553251659
BaseRepresentation
bin111110101101000…
…100001111011000
32201022112012101220
4332231010033120
54123303014430
6252220012040
735032602003
oct7655041730
92638465356
101052001240
1149a911114
12254391020
13139c46454
149da0653a
1562554110
hex3eb443d8

1052001240 has 128 divisors (see below), whose sum is σ = 3233260800. Its totient is φ = 273728000.

The previous prime is 1052001221. The next prime is 1052001241. The reversal of 1052001240 is 421002501.

It is a super-2 number, since 2×10520012402 = 2213413217923075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052001241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596031 + ... + 1596689.

It is an arithmetic number, because the mean of its divisors is an integer number (25259850).

Almost surely, 21052001240 is an apocalyptic number.

1052001240 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 1052001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616630400).

1052001240 is an abundant number, since it is smaller than the sum of its proper divisors (2181259560).

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

1052001240 is a wasteful number, since it uses less digits than its factorization.

1052001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1052001240 is about 32434.5685958670. The cubic root of 1052001240 is about 1017.0416781319.

Adding to 1052001240 its reverse (421002501), we get a palindrome (1473003741).

The spelling of 1052001240 in words is "one billion, fifty-two million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 251 265 318 424 502 530 636 659 753 795 1004 1060 1255 1272 1318 1506 1590 1977 2008 2120 2510 2636 3012 3180 3295 3765 3954 5020 5272 6024 6360 6590 7530 7908 9885 10040 13180 13303 15060 15816 19770 26360 26606 30120 34927 39540 39909 53212 66515 69854 79080 79818 104781 106424 133030 139708 159636 165409 174635 199545 209562 266060 279416 319272 330818 349270 399090 419124 496227 523905 532120 661636 698540 798180 827045 838248 992454 1047810 1323272 1397080 1596360 1654090 1984908 2095620 2481135 3308180 3969816 4191240 4962270 6616360 8766677 9924540 17533354 19849080 26300031 35066708 43833385 52600062 70133416 87666770 105200124 131500155 175333540 210400248 263000310 350667080 526000620 1052001240