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104520816 = 24326173163
BaseRepresentation
bin1100011101011…
…01110001110000
321021200012121100
412032231301300
5203224131231
614212124400
72406261261
oct616556160
9237605540
10104520816
1153aaa044
122b006700
131886744a
14dc4a968
1592991e6
hex63adc70

104520816 has 120 divisors (see below), whose sum is σ = 303230096. Its totient is φ = 33592320.

The previous prime is 104520797. The next prime is 104520817. The reversal of 104520816 is 618025401.

It is a self number, because there is not a number n which added to its sum of digits gives 104520816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104520817) 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, 641151 + ... + 641313.

Almost surely, 2104520816 is an apocalyptic number.

104520816 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 104520816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151615048).

104520816 is an abundant number, since it is smaller than the sum of its proper divisors (198709280).

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

104520816 is a wasteful number, since it uses less digits than its factorization.

104520816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 104520816 is about 10223.5422432736. The cubic root of 104520816 is about 471.0506389359.

The spelling of 104520816 in words is "one hundred four million, five hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 73 122 144 146 163 183 219 244 292 326 366 438 488 489 549 584 652 657 732 876 976 978 1098 1168 1304 1314 1464 1467 1752 1956 2196 2608 2628 2928 2934 3504 3912 4392 4453 5256 5868 7824 8784 8906 9943 10512 11736 11899 13359 17812 19886 23472 23798 26718 29829 35624 35697 39772 40077 47596 53436 59658 71248 71394 79544 80154 89487 95192 106872 107091 119316 142788 159088 160308 178974 190384 213744 214182 238632 285576 320616 357948 428364 477264 571152 641232 715896 725839 856728 1431792 1451678 1713456 2177517 2903356 4355034 5806712 6532551 8710068 11613424 13065102 17420136 26130204 34840272 52260408 104520816