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109310464 = 29317197
BaseRepresentation
bin1101000001111…
…11001000000000
321121200112202201
412200333020000
5210440413324
614502522544
72465060254
oct640771000
9247615681
10109310464
115678062a
1230736454
1319853563
1410736264
1598e3444
hex683f200

109310464 has 80 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 51609600.

The previous prime is 109310431. The next prime is 109310471. The reversal of 109310464 is 464013901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126864 + ... + 1126960.

Almost surely, 2109310464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

109310464 is an abundant number, since it is smaller than the sum of its proper divisors (121674752).

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

109310464 is an frugal number, since it uses more digits than its factorization.

109310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 109310464 is about 10455.1644654687. The cubic root of 109310464 is about 478.1387178145.

The spelling of 109310464 in words is "one hundred nine million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 71 97 124 128 142 194 248 256 284 388 496 512 568 776 992 1136 1552 1984 2201 2272 3007 3104 3968 4402 4544 6014 6208 6887 7936 8804 9088 12028 12416 13774 15872 17608 18176 24056 24832 27548 35216 36352 48112 49664 55096 70432 96224 110192 140864 192448 213497 220384 281728 384896 426994 440768 563456 769792 853988 881536 1126912 1539584 1707976 1763072 3415952 3526144 6831904 13663808 27327616 54655232 109310464