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164715520 = 210553607
BaseRepresentation
bin10011101000101…
…01110000000000
3102110221102012211
421310111300000
5314131344040
624202231504
74040026114
oct1164256000
9373842184
10164715520
1184a83232
12471b5594
1328181c08
1417c39744
15e6d98ea
hex9d15c00

164715520 has 88 divisors (see below), whose sum is σ = 403242624. Its totient is φ = 64536576.

The previous prime is 164715497. The next prime is 164715539. The reversal of 164715520 is 25517461.

It is a congruent number.

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, 271057 + ... + 271663.

Almost surely, 2164715520 is an apocalyptic number.

164715520 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 164715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201621312).

164715520 is an abundant number, since it is smaller than the sum of its proper divisors (238527104).

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

164715520 is an equidigital number, since it uses as much as digits as its factorization.

164715520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 164715520 is about 12834.1544326068. The cubic root of 164715520 is about 548.1652582021.

The spelling of 164715520 in words is "one hundred sixty-four million, seven hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 607 640 848 1024 1060 1214 1280 1696 2120 2428 2560 3035 3392 4240 4856 5120 6070 6784 8480 9712 12140 13568 16960 19424 24280 27136 32171 33920 38848 48560 54272 64342 67840 77696 97120 128684 135680 155392 160855 194240 257368 271360 310784 321710 388480 514736 621568 643420 776960 1029472 1286840 1553920 2058944 2573680 3107840 4117888 5147360 8235776 10294720 16471552 20589440 32943104 41178880 82357760 164715520