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109632480 = 2535376173
BaseRepresentation
bin1101000100011…
…01101111100000
321122021220111020
412202031233200
5211031214410
614513445440
72500601136
oct642155740
9248256436
10109632480
1156980561
1230870880
1319936cb9
14107bb756
159958a70
hex688dbe0

109632480 has 96 divisors (see below), whose sum is σ = 354733344. Its totient is φ = 28440576.

The previous prime is 109632437. The next prime is 109632491. The reversal of 109632480 is 84236901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14674 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (3695139).

Almost surely, 2109632480 is an apocalyptic number.

109632480 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 109632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672).

109632480 is an abundant number, since it is smaller than the sum of its proper divisors (245100864).

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

109632480 is a wasteful number, since it uses less digits than its factorization.

109632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 109632480 is about 10470.5529939922. The cubic root of 109632480 is about 478.6077713333.

The spelling of 109632480 in words is "one hundred nine million, six hundred thirty-two thousand, four hundred eighty".

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 5920 6173 8880 12346 17760 18519 24692 30865 37038 49384 61730 74076 92595 98768 123460 148152 185190 197536 228401 246920 296304 370380 456802 493840 592608 685203 740760 913604 987680 1142005 1370406 1481520 1827208 2284010 2740812 2963040 3426015 3654416 4568020 5481624 6852030 7308832 9136040 10963248 13704060 18272080 21926496 27408120 36544160 54816240 109632480