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104487264 = 2532751829
BaseRepresentation
bin1100011101001…
…01100101100000
321021121111120200
412032211211200
5203222043024
614211305200
72406061410
oct616454540
9237544520
10104487264
1153a86912
122abab200
13188550ab
14dc3c640
15928e2c9
hex63a5960

104487264 has 72 divisors (see below), whose sum is σ = 339590160. Its totient is φ = 29852928.

The previous prime is 104487263. The next prime is 104487269. The reversal of 104487264 is 462784401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104487263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23899 + ... + 27930.

It is an arithmetic number, because the mean of its divisors is an integer number (4716530).

Almost surely, 2104487264 is an apocalyptic number.

104487264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104487264 is an abundant number, since it is smaller than the sum of its proper divisors (235102896).

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

104487264 is a wasteful number, since it uses less digits than its factorization.

104487264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51852 (or 51841 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 104487264 is about 10221.9011930267. The cubic root of 104487264 is about 471.0002298943. Note that the first 3 decimals are identical.

The spelling of 104487264 in words is "one hundred four million, four hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 51829 103658 155487 207316 310974 362803 414632 466461 621948 725606 829264 932922 1088409 1243896 1451212 1658528 1865844 2176818 2487792 2902424 3265227 3731688 4353636 4975584 5804848 6530454 7463376 8707272 11609696 13060908 14926752 17414544 26121816 34829088 52243632 104487264