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104020320 = 2535375857
BaseRepresentation
bin1100011001100…
…11100101100000
321020201210001110
412030303211200
5203112122240
614153303320
72402105145
oct614634540
9236653043
10104020320
1153798008
122aa04b40
13187206b1
14db5a3cc
1591eac80
hex6333960

104020320 has 96 divisors (see below), whose sum is σ = 336577248. Its totient is φ = 26984448.

The previous prime is 104020309. The next prime is 104020337. The reversal of 104020320 is 23020401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104020296 and 104020305.

It is a congruent number.

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, 14832 + ... + 20688.

It is an arithmetic number, because the mean of its divisors is an integer number (3506013).

Almost surely, 2104020320 is an apocalyptic number.

104020320 is a gapful number since it is divisible by the number (10) 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 104020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168288624).

104020320 is an abundant number, since it is smaller than the sum of its proper divisors (232556928).

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

104020320 is a wasteful number, since it uses less digits than its factorization.

104020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 104020320 is about 10199.0352484929. The cubic root of 104020320 is about 470.2975631912.

Adding to 104020320 its reverse (23020401), we get a palindrome (127040721).

The spelling of 104020320 in words is "one hundred four million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5857 5920 8880 11714 17571 17760 23428 29285 35142 46856 58570 70284 87855 93712 117140 140568 175710 187424 216709 234280 281136 351420 433418 468560 562272 650127 702840 866836 937120 1083545 1300254 1405680 1733672 2167090 2600508 2811360 3250635 3467344 4334180 5201016 6501270 6934688 8668360 10402032 13002540 17336720 20804064 26005080 34673440 52010160 104020320