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1052138736 = 2432116110889
BaseRepresentation
bin111110101101100…
…101110011110000
32201022210012000100
4332231211303300
54123321414421
6252222552400
735034013605
oct7655456360
92638705010
101052138736
1149a9a5450
12254438700
13139c93bcc
149da406ac
156257ec26
hex3eb65cf0

1052138736 has 120 divisors (see below), whose sum is σ = 3265170480. Its totient is φ = 313574400.

The previous prime is 1052138723. The next prime is 1052138779. The reversal of 1052138736 is 6378312501.

It is a super-2 number, since 2×10521387362 = 2213991839583355392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1052138736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91180 + ... + 102068.

It is an arithmetic number, because the mean of its divisors is an integer number (27209754).

Almost surely, 21052138736 is an apocalyptic number.

1052138736 is a gapful number since it is divisible by the number (16) 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 1052138736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632585240).

1052138736 is an abundant number, since it is smaller than the sum of its proper divisors (2213031744).

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

1052138736 is a wasteful number, since it uses less digits than its factorization.

1052138736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1052138736 is about 32436.6881170073. The cubic root of 1052138736 is about 1017.0859851363.

The spelling of 1052138736 in words is "one billion, fifty-two million, one hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 5368 6039 8052 8784 10736 10889 12078 16104 21778 24156 32208 32667 43556 48312 65334 87112 96624 98001 119779 130668 174224 196002 239558 261336 359337 392004 479116 522672 664229 718674 784008 958232 1078011 1328458 1437348 1568016 1916464 1992687 2156022 2656916 2874696 3985374 4312044 5313832 5749392 5978061 7306519 7970748 8624088 10627664 11956122 14613038 15941496 17248176 21919557 23912244 29226076 31882992 43839114 47824488 58452152 65758671 87678228 95648976 116904304 131517342 175356456 263034684 350712912 526069368 1052138736