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103204416 = 2637174517
BaseRepresentation
bin1100010011011…
…00011001000000
321012012022211210
412021230121000
5202410020131
614124010120
72362136340
oct611543100
9235168753
10103204416
1153290007
122a690940
13184c6203
14d9c6d20
1590d9146
hex626c640

103204416 has 112 divisors (see below), whose sum is σ = 330500736. Its totient is φ = 27746304.

The previous prime is 103204379. The next prime is 103204459. The reversal of 103204416 is 614402301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103204392 and 103204401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20590 + ... + 25106.

Almost surely, 2103204416 is an apocalyptic number.

103204416 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 103204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165250368).

103204416 is an abundant number, since it is smaller than the sum of its proper divisors (227296320).

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

103204416 is a wasteful number, since it uses less digits than its factorization.

103204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4546 counting only the distinct ones).

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

The square root of 103204416 is about 10158.9574268229. The cubic root of 103204416 is about 469.0647101199.

Adding to 103204416 its reverse (614402301), we get a palindrome (717606717).

The spelling of 103204416 in words is "one hundred three million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 4517 5712 7616 9034 11424 13551 18068 22848 27102 31619 36136 54204 63238 72272 76789 94857 108408 126476 144544 153578 189714 216816 230367 252952 289088 307156 379428 433632 460734 505904 537523 614312 758856 867264 921468 1011808 1075046 1228624 1517712 1612569 1842936 2023616 2150092 2457248 3035424 3225138 3685872 4300184 4914496 6070848 6450276 7371744 8600368 12900552 14743488 17200736 25801104 34401472 51602208 103204416