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104165292 = 223711791427
BaseRepresentation
bin1100011010101…
…10111110101100
321021000010220210
412031112332230
5203131242132
614200342420
72403250620
oct615267654
9237003823
10104165292
1153886a20
122aa74a10
131877168a
14db97180
159228bcc
hex6356fac

104165292 has 96 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 26694720.

The previous prime is 104165279. The next prime is 104165311. The reversal of 104165292 is 292561401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72283 + ... + 73709.

It is an arithmetic number, because the mean of its divisors is an integer number (3198720).

Almost surely, 2104165292 is an apocalyptic number.

104165292 is a gapful number since it is divisible by the number (12) 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 104165292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

104165292 is an abundant number, since it is smaller than the sum of its proper divisors (202911828).

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

104165292 is a wasteful number, since it uses less digits than its factorization.

104165292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 104165292 is about 10206.1399167364. The cubic root of 104165292 is about 470.5159446540.

The spelling of 104165292 in words is "one hundred four million, one hundred sixty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1427 1659 1738 2212 2607 2854 3318 3476 4281 5214 5708 6083 6636 8562 9989 10428 12166 15697 17124 18249 19978 24332 29967 31394 36498 39956 47091 59934 62788 72996 94182 109879 112733 119868 188364 219758 225466 329637 338199 439516 450932 659274 676398 789131 1240063 1318548 1352796 1578262 2367393 2480126 3156524 3720189 4734786 4960252 7440378 8680441 9469572 14880756 17360882 26041323 34721764 52082646 104165292