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164505432 = 23371375323
BaseRepresentation
bin10011100111000…
…10011101011000
3102110112202000210
421303202131120
5314103133212
624153531120
74035162450
oct1163423530
9373482023
10164505432
118494a403
1247113aa0
132810a3c0
1417bc2d60
15e69753c
hex9ce2758

164505432 has 64 divisors (see below), whose sum is σ = 506177280. Its totient is φ = 43385472.

The previous prime is 164505421. The next prime is 164505433. The reversal of 164505432 is 234505461.

164505432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164505432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164505433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35478 + ... + 39845.

It is an arithmetic number, because the mean of its divisors is an integer number (7909020).

Almost surely, 2164505432 is an apocalyptic number.

164505432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164505432 is an abundant number, since it is smaller than the sum of its proper divisors (341671848).

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

164505432 is a wasteful number, since it uses less digits than its factorization.

164505432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75352 (or 75348 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 164505432 is about 12825.9670980398. The cubic root of 164505432 is about 547.9321048248.

The spelling of 164505432 in words is "one hundred sixty-four million, five hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 75323 150646 225969 301292 451938 527261 602584 903876 979199 1054522 1581783 1807752 1958398 2109044 2937597 3163566 3916796 4218088 5875194 6327132 6854393 7833592 11750388 12654264 13708786 20563179 23500776 27417572 41126358 54835144 82252716 164505432