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1052000520 = 233529302299
BaseRepresentation
bin111110101101000…
…100000100001000
32201022112011102020
4332231010010020
54123303004040
6252220004440
735032566624
oct7655040410
92638464366
101052000520
1149a91061a
12254390720
13139c4601c
149da06184
1562553cd0
hex3eb44108

1052000520 has 64 divisors (see below), whose sum is σ = 3264840000. Its totient is φ = 270859008.

The previous prime is 1052000513. The next prime is 1052000527. The reversal of 1052000520 is 250002501.

It is an interprime number because it is at equal distance from previous prime (1052000513) and next prime (1052000527).

It is a super-2 number, since 2×10520005202 = 2213410188160540800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1052000520.

It is not an unprimeable number, because it can be changed into a prime (1052000527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147670 + ... + 154629.

It is an arithmetic number, because the mean of its divisors is an integer number (51013125).

Almost surely, 21052000520 is an apocalyptic number.

1052000520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052000520 is an abundant number, since it is smaller than the sum of its proper divisors (2212839480).

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

1052000520 is a wasteful number, since it uses less digits than its factorization.

1052000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302342 (or 302338 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1052000520 is about 32434.5574965961. The cubic root of 1052000520 is about 1017.0414461074.

The spelling of 1052000520 in words is "one billion, fifty-two million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 302299 604598 906897 1209196 1511495 1813794 2418392 3022990 3627588 4534485 6045980 7255176 8766671 9068970 12091960 17533342 18137940 26300013 35066684 36275880 43833355 52600026 70133368 87666710 105200052 131500065 175333420 210400104 263000130 350666840 526000260 1052000520