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161873920 = 21751319
BaseRepresentation
bin10011010011000…
…00000000000000
3102021121001021101
421221200000000
5312414431140
624021304144
74003622425
oct1151400000
9367531241
10161873920
11834122aa
1246265054
13276c86b0
14176d9d4c
15e32799a
hex9a60000

161873920 has 144 divisors (see below), whose sum is σ = 440400240. Its totient is φ = 56623104.

The previous prime is 161873903. The next prime is 161873953. The reversal of 161873920 is 29378161.

It is a self number, because there is not a number n which added to its sum of digits gives 161873920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8519671 + ... + 8519689.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2161873920 is an apocalyptic number.

161873920 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 161873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120).

161873920 is an abundant number, since it is smaller than the sum of its proper divisors (278526320).

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

161873920 is an frugal number, since it uses more digits than its factorization.

161873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 161873920 is about 12722.9682071441. The cubic root of 161873920 is about 544.9947198097.

The spelling of 161873920 in words is "one hundred sixty-one million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 320 380 416 494 512 520 608 640 760 832 988 1024 1040 1216 1235 1280 1520 1664 1976 2048 2080 2432 2470 2560 3040 3328 3952 4096 4160 4864 4940 5120 6080 6656 7904 8192 8320 9728 9880 10240 12160 13312 15808 16384 16640 19456 19760 20480 24320 26624 31616 32768 33280 38912 39520 40960 48640 53248 63232 65536 66560 77824 79040 81920 97280 106496 126464 131072 133120 155648 158080 163840 194560 212992 252928 266240 311296 316160 327680 389120 425984 505856 532480 622592 632320 655360 778240 851968 1011712 1064960 1245184 1264640 1556480 1703936 2023424 2129920 2490368 2529280 3112960 4046848 4259840 5058560 6225920 8093696 8519680 10117120 12451840 16187392 20234240 32374784 40468480 80936960 161873920