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165670960 = 24572133251
BaseRepresentation
bin10011101111111…
…11000000110000
3102112201221211111
421313333000300
5314402432320
624234523104
74051115500
oct1167770060
9375657744
10165670960
1185576054
1247596494
1328427a70
1418007a00
15e827a5a
hex9dff030

165670960 has 120 divisors (see below), whose sum is σ = 482687856. Its totient is φ = 52416000.

The previous prime is 165670957. The next prime is 165670963. The reversal of 165670960 is 69076561.

It is an interprime number because it is at equal distance from previous prime (165670957) and next prime (165670963).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165670963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49335 + ... + 52585.

Almost surely, 2165670960 is an apocalyptic number.

165670960 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 165670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241343928).

165670960 is an abundant number, since it is smaller than the sum of its proper divisors (317016896).

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

165670960 is a wasteful number, since it uses less digits than its factorization.

165670960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 165670960 is about 12871.3231643060. The cubic root of 165670960 is about 549.2231014614.

The spelling of 165670960 in words is "one hundred sixty-five million, six hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3251 3640 3920 5096 6370 6502 7280 10192 12740 13004 16255 22757 25480 26008 32510 42263 45514 50960 52016 65020 84526 91028 113785 130040 159299 169052 182056 211315 227570 260080 295841 318598 338104 364112 422630 455140 591682 637196 676208 796495 845260 910280 1183364 1274392 1479205 1592990 1690520 1820560 2070887 2366728 2548784 2958410 3185980 3381040 4141774 4733456 5916820 6371960 8283548 10354435 11833640 12743920 16567096 20708870 23667280 33134192 41417740 82835480 165670960