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161379960 = 23357238353
BaseRepresentation
bin10011001111001…
…11011001111000
3102020122221200120
421213213121320
5312303124320
624002533240
73666464340
oct1147473170
9366587616
10161379960
1183105175
1246067220
1327584901
141760bd20
15e27b440
hex99e7678

161379960 has 128 divisors (see below), whose sum is σ = 577428480. Its totient is φ = 35278848.

The previous prime is 161379917. The next prime is 161379979. The reversal of 161379960 is 69973161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15144 + ... + 23496.

It is an arithmetic number, because the mean of its divisors is an integer number (4511160).

Almost surely, 2161379960 is an apocalyptic number.

161379960 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 161379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288714240).

161379960 is an abundant number, since it is smaller than the sum of its proper divisors (416048520).

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

161379960 is a wasteful number, since it uses less digits than its factorization.

161379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 161379960 is about 12703.5412385681. The cubic root of 161379960 is about 544.4398025735.

The spelling of 161379960 in words is "one hundred sixty-one million, three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 8353 9660 16706 19320 25059 33412 41765 50118 58471 66824 83530 100236 116942 125295 167060 175413 192119 200472 233884 250590 292355 334120 350826 384238 467768 501180 576357 584710 701652 768476 877065 960595 1002360 1152714 1169420 1344833 1403304 1536952 1754130 1921190 2305428 2338840 2689666 2881785 3508260 3842380 4034499 4610856 5379332 5763570 6724165 7016520 7684760 8068998 10758664 11527140 13448330 16137996 20172495 23054280 26896660 32275992 40344990 53793320 80689980 161379960