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10804368 = 2433153137
BaseRepresentation
bin101001001101…
…110010010000
3202022220210210
4221031302100
510231214433
61023324120
7160556421
oct51156220
922286723
1010804368
11610a533
123750640
132313a23
141613648
15e36463
hexa4dc90

10804368 has 80 divisors (see below), whose sum is σ = 29569536. Its totient is φ = 3394560.

The previous prime is 10804363. The next prime is 10804373. The reversal of 10804368 is 86340801.

It is a happy number.

It is a Cunningham number, because it is equal to 32872-1.

It is an interprime number because it is at equal distance from previous prime (10804363) and next prime (10804373).

It is not an unprimeable number, because it can be changed into a prime (10804363) 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, 78796 + ... + 78932.

Almost surely, 210804368 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 10804368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784768).

10804368 is an abundant number, since it is smaller than the sum of its proper divisors (18765168).

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

10804368 is a wasteful number, since it uses less digits than its factorization.

10804368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10804368 is about 3286.9998478856. Note that the first 3 decimals coincide. The cubic root of 10804368 is about 221.0716856233.

The spelling of 10804368 in words is "ten million, eight hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 137 159 186 212 248 274 318 372 411 424 496 548 636 744 822 848 1096 1272 1488 1643 1644 2192 2544 3286 3288 4247 4929 6572 6576 7261 8494 9858 12741 13144 14522 16988 19716 21783 25482 26288 29044 33976 39432 43566 50964 58088 67952 78864 87132 101928 116176 174264 203856 225091 348528 450182 675273 900364 1350546 1800728 2701092 3601456 5402184 10804368