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104432016 = 24313292199
BaseRepresentation
bin1100011100110…
…00000110010000
321021111200210110
412032120012100
5203213311031
614210201320
72405441343
oct616300620
9237450713
10104432016
1153a49357
122ab83240
1318835bc0
14dc2645a
15927cc46
hex6398190

104432016 has 120 divisors (see below), whose sum is σ = 302411200. Its totient is φ = 30868992.

The previous prime is 104431991. The next prime is 104432017. The reversal of 104432016 is 610234401.

It is a junction number, because it is equal to n+sod(n) for n = 104431983 and 104432001.

It is not an unprimeable number, because it can be changed into a prime (104432017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524685 + ... + 524883.

Almost surely, 2104432016 is an apocalyptic number.

104432016 is a gapful number since it is divisible by the number (16) 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 104432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205600).

104432016 is an abundant number, since it is smaller than the sum of its proper divisors (197979184).

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

104432016 is a wasteful number, since it uses less digits than its factorization.

104432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104432016 is about 10219.1984030060. The cubic root of 104432016 is about 470.9172009284.

Adding to 104432016 its reverse (610234401), we get a palindrome (714666417).

The spelling of 104432016 in words is "one hundred four million, four hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 199 208 232 312 348 377 398 464 597 624 696 754 796 841 1131 1194 1392 1508 1592 1682 2262 2388 2523 2587 3016 3184 3364 4524 4776 5046 5174 5771 6032 6728 7761 9048 9552 10092 10348 10933 11542 13456 15522 17313 18096 20184 20696 21866 23084 31044 32799 34626 40368 41392 43732 46168 62088 65598 69252 75023 87464 92336 124176 131196 138504 150046 167359 174928 225069 262392 277008 300092 334718 450138 502077 524784 600184 669436 900276 1004154 1200368 1338872 1800552 2008308 2175667 2677744 3601104 4016616 4351334 6527001 8033232 8702668 13054002 17405336 26108004 34810672 52216008 104432016