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104132472 = 23331672089
BaseRepresentation
bin1100011010011…
…10111101111000
321020221110220020
412031032331320
5203124214342
614155530440
72403053133
oct615167570
9236843806
10104132472
11538642a4
122aa59a20
131875c762
14db8921a
15921e0ec
hex634ef78

104132472 has 64 divisors (see below), whose sum is σ = 272870400. Its totient is φ = 33073920.

The previous prime is 104132459. The next prime is 104132473. The reversal of 104132472 is 274231401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104132473) 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, 48804 + ... + 50892.

It is an arithmetic number, because the mean of its divisors is an integer number (4263600).

Almost surely, 2104132472 is an apocalyptic number.

104132472 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 104132472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136435200).

104132472 is an abundant number, since it is smaller than the sum of its proper divisors (168737928).

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

104132472 is a wasteful number, since it uses less digits than its factorization.

104132472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 104132472 is about 10204.5319343907. The cubic root of 104132472 is about 470.4665233445.

Adding to 104132472 its reverse (274231401), we get a palindrome (378363873).

The spelling of 104132472 in words is "one hundred four million, one hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 372 402 536 744 804 1608 2077 2089 4154 4178 6231 6267 8308 8356 12462 12534 16616 16712 24924 25068 49848 50136 64759 129518 139963 194277 259036 279926 388554 419889 518072 559852 777108 839778 1119704 1554216 1679556 3359112 4338853 8677706 13016559 17355412 26033118 34710824 52066236 104132472