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107469312 = 293313761
BaseRepresentation
bin1100110011111…
…01101000000000
321111020000011220
412121331220000
5210003004222
614355235040
72443321416
oct631755000
9244200156
10107469312
1155733315
122bba8a80
131935a512
14103b72b6
15967cb5c
hex667da00

107469312 has 160 divisors (see below), whose sum is σ = 308504064. Its totient is φ = 33177600.

The previous prime is 107469289. The next prime is 107469347. The reversal of 107469312 is 213964701.

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, 1761762 + ... + 1761822.

Almost surely, 2107469312 is an apocalyptic number.

107469312 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 107469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154252032).

107469312 is an abundant number, since it is smaller than the sum of its proper divisors (201034752).

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

107469312 is an equidigital number, since it uses as much as digits as its factorization.

107469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 107469312 is about 10366.7406642589. The cubic root of 107469312 is about 475.4390208854.

The spelling of 107469312 in words is "one hundred seven million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 61 62 64 74 93 96 111 122 124 128 148 183 186 192 222 244 248 256 296 366 372 384 444 488 496 512 592 732 744 768 888 976 992 1147 1184 1464 1488 1536 1776 1891 1952 1984 2257 2294 2368 2928 2976 3441 3552 3782 3904 3968 4514 4588 4736 5673 5856 5952 6771 6882 7104 7564 7808 7936 9028 9176 9472 11346 11712 11904 13542 13764 14208 15128 15616 15872 18056 18352 18944 22692 23424 23808 27084 27528 28416 30256 31232 36112 36704 45384 46848 47616 54168 55056 56832 60512 69967 72224 73408 90768 93696 108336 110112 121024 139934 144448 146816 181536 209901 216672 220224 242048 279868 288896 293632 363072 419802 433344 440448 484096 559736 577792 587264 726144 839604 866688 880896 968192 1119472 1155584 1452288 1679208 1733376 1761792 2238944 2904576 3358416 3466752 4477888 6716832 8955776 13433664 17911552 26867328 35823104 53734656 107469312