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164365520 = 245111710987
BaseRepresentation
bin10011100110000…
…00010011010000
3102110021122002212
421303000103100
5314034144040
624150531252
74034040524
oct1163002320
9373248085
10164365520
1184864280
1247066b28
132808b807
1417b87d84
15e66ad65
hex9cc04d0

164365520 has 80 divisors (see below), whose sum is σ = 441453888. Its totient is φ = 56248320.

The previous prime is 164365517. The next prime is 164365541. The reversal of 164365520 is 25563461.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9467 + ... + 20453.

Almost surely, 2164365520 is an apocalyptic number.

164365520 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 164365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220726944).

164365520 is an abundant number, since it is smaller than the sum of its proper divisors (277088368).

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

164365520 is a wasteful number, since it uses less digits than its factorization.

164365520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 164365520 is about 12820.5116902564. The cubic root of 164365520 is about 547.7767218692.

The spelling of 164365520 in words is "one hundred sixty-four million, three hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 10987 14960 21974 43948 54935 87896 109870 120857 175792 186779 219740 241714 373558 439480 483428 604285 747116 878960 933895 966856 1208570 1494232 1867790 1933712 2054569 2417140 2988464 3735580 4109138 4834280 7471160 8218276 9668560 10272845 14942320 16436552 20545690 32873104 41091380 82182760 164365520