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164923470 = 232547127307
BaseRepresentation
bin10011101010010…
…00100001001110
3102111022222110200
421311020201032
5314210022340
624210514330
74041553305
oct1165104116
9374288420
10164923470
1185105498
12472959a6
132822576a
1417c9143c
15e72b330
hex9d4884e

164923470 has 96 divisors (see below), whose sum is σ = 442810368. Its totient is φ = 42565824.

The previous prime is 164923469. The next prime is 164923471. The reversal of 164923470 is 74329461.

164923470 is a `hidden beast` number, since 1 + 649 + 2 + 3 + 4 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164923469) and next prime (164923471).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164923471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537057 + ... + 537363.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 2164923470 is an apocalyptic number.

164923470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164923470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221405184).

164923470 is an abundant number, since it is smaller than the sum of its proper divisors (277886898).

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

164923470 is a wasteful number, since it uses less digits than its factorization.

164923470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 164923470 is about 12842.2533069551. The cubic root of 164923470 is about 548.3958436961.

The spelling of 164923470 in words is "one hundred sixty-four million, nine hundred twenty-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 127 141 235 254 282 307 381 423 470 614 635 705 762 846 921 1143 1270 1410 1535 1842 1905 2115 2286 2763 3070 3810 4230 4605 5526 5715 5969 9210 11430 11938 13815 14429 17907 27630 28858 29845 35814 38989 43287 53721 59690 72145 77978 86574 89535 107442 116967 129861 144290 179070 194945 216435 233934 259722 268605 350901 389890 432870 537210 584835 649305 701802 1169670 1298610 1754505 1832483 3509010 3664966 5497449 9162415 10994898 16492347 18324830 27487245 32984694 54974490 82461735 164923470