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1053117008 = 24232939767
BaseRepresentation
bin111110110001010…
…100101001010000
32201101121212221122
4332301110221100
54124044221013
6252255541412
735045226656
oct7661245120
92641555848
101053117008
114a0503439
1225482a868
1313a247278
149dc16dd6
15626c4a08
hex3ec54a50

1053117008 has 40 divisors (see below), whose sum is σ = 2136613248. Its totient is φ = 501894272.

The previous prime is 1053117007. The next prime is 1053117041. The reversal of 1053117008 is 8007113501.

It is a super-2 number, since 2×10531170082 = 2218110865077744128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053117007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102941 + ... + 112707.

Almost surely, 21053117008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053117008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068306624).

1053117008 is an abundant number, since it is smaller than the sum of its proper divisors (1083496240).

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

1053117008 is a wasteful number, since it uses less digits than its factorization.

1053117008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 1053117008 is about 32451.7643279992. The cubic root of 1053117008 is about 1017.4011142121.

It can be divided in two parts, 105 and 3117008, that added together give a palindrome (3117113).

The spelling of 1053117008 in words is "one billion, fifty-three million, one hundred seventeen thousand, eight".

Divisors: 1 2 4 8 16 23 46 92 184 293 368 586 1172 2344 4688 6739 9767 13478 19534 26956 39068 53912 78136 107824 156272 224641 449282 898564 1797128 2861731 3594256 5723462 11446924 22893848 45787696 65819813 131639626 263279252 526558504 1053117008