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103310992 = 2429534201
BaseRepresentation
bin1100010100001…
…10011010010000
321012101202001001
412022012122100
5202421422432
614130151344
72363062141
oct612063220
9235352031
10103310992
1153353094
122a722554
1318532885
14da13ac8
15910a9e7
hex6286690

103310992 has 40 divisors (see below), whose sum is σ = 211024440. Its totient is φ = 48921600.

The previous prime is 103310959. The next prime is 103311001. The reversal of 103310992 is 299013301.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 97140736 = 2484^2 + 9856^2 .

It is a super-2 number, since 2×1033109922 = 21346322136048128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 103310992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22492 + ... + 26692.

It is an arithmetic number, because the mean of its divisors is an integer number (5275611).

Almost surely, 2103310992 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 103310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105512220).

103310992 is an abundant number, since it is smaller than the sum of its proper divisors (107713448).

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

103310992 is a wasteful number, since it uses less digits than its factorization.

103310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 103310992 is about 10164.2014934770. The cubic root of 103310992 is about 469.2261174326.

The spelling of 103310992 in words is "one hundred three million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 4201 6148 8402 12296 16804 24592 33608 67216 121829 222653 243658 445306 487316 890612 974632 1781224 1949264 3562448 6456937 12913874 25827748 51655496 103310992