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103930880 = 210553383
BaseRepresentation
bin1100011000111…
…01110000000000
321020120020100212
412030131300000
5203101242010
614151333252
72401253324
oct614356000
9236506325
10103930880
1153736899
122a981228
13186bba81
14db35984
1591ce505
hex631dc00

103930880 has 88 divisors (see below), whose sum is σ = 254679552. Its totient is φ = 40681472.

The previous prime is 103930873. The next prime is 103930889. The reversal of 103930880 is 88039301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103930889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271169 + ... + 271551.

Almost surely, 2103930880 is an apocalyptic number.

103930880 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 103930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127339776).

103930880 is an abundant number, since it is smaller than the sum of its proper divisors (150748672).

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

103930880 is an equidigital number, since it uses as much as digits as its factorization.

103930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 103930880 is about 10194.6495771066. The cubic root of 103930880 is about 470.1627322414.

The spelling of 103930880 in words is "one hundred three million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 383 424 512 530 640 766 848 1024 1060 1280 1532 1696 1915 2120 2560 3064 3392 3830 4240 5120 6128 6784 7660 8480 12256 13568 15320 16960 20299 24512 27136 30640 33920 40598 49024 54272 61280 67840 81196 98048 101495 122560 135680 162392 196096 202990 245120 271360 324784 392192 405980 490240 649568 811960 980480 1299136 1623920 1960960 2598272 3247840 5196544 6495680 10393088 12991360 20786176 25982720 51965440 103930880