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107323392 = 213311397
BaseRepresentation
bin1100110010110…
…10000000000000
321110221121000110
412121122000000
5204433322032
614352151320
72442143121
oct631320000
9243847013
10107323392
1155643720
122bb38540
1319308c87
141037a048
15964e7cc
hex665a000

107323392 has 112 divisors (see below), whose sum is σ = 312980832. Its totient is φ = 32440320.

The previous prime is 107323361. The next prime is 107323417. The reversal of 107323392 is 293323701.

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, 270138 + ... + 270534.

Almost surely, 2107323392 is an apocalyptic number.

107323392 is a gapful number since it is divisible by the number (12) 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 107323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156490416).

107323392 is an abundant number, since it is smaller than the sum of its proper divisors (205657440).

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

107323392 is an equidigital number, since it uses as much as digits as its factorization.

107323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 107323392 is about 10359.7003817678. The cubic root of 107323392 is about 475.2237424227.

The spelling of 107323392 in words is "one hundred seven million, three hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 397 512 528 704 768 794 1024 1056 1191 1408 1536 1588 2048 2112 2382 2816 3072 3176 4096 4224 4367 4764 5632 6144 6352 8192 8448 8734 9528 11264 12288 12704 13101 16896 17468 19056 22528 24576 25408 26202 33792 34936 38112 45056 50816 52404 67584 69872 76224 90112 101632 104808 135168 139744 152448 203264 209616 270336 279488 304896 406528 419232 558976 609792 813056 838464 1117952 1219584 1626112 1676928 2235904 2439168 3252224 3353856 4471808 4878336 6707712 8943616 9756672 13415424 17887232 26830848 35774464 53661696 107323392