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189621520 = 245112191031
BaseRepresentation
bin10110100110101…
…10010100010000
3111012210202211021
423103112110100
5342020342040
630452125224
74461520264
oct1323262420
9435722737
10189621520
1198044500
1253606814
13303923aa
141b2800a4
15119a924a
hexb4d6510

189621520 has 120 divisors (see below), whose sum is σ = 510592320. Its totient is φ = 65260800.

The previous prime is 189621503. The next prime is 189621527. The reversal of 189621520 is 25126981.

It is a super-2 number, since 2×1896215202 = 71912641694220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189621527) 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, 183405 + ... + 184435.

It is an arithmetic number, because the mean of its divisors is an integer number (4254936).

Almost surely, 2189621520 is an apocalyptic number.

189621520 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 189621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255296160).

189621520 is an abundant number, since it is smaller than the sum of its proper divisors (320970800).

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

189621520 is a wasteful number, since it uses less digits than its factorization.

189621520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 189621520 is about 13770.3129957165. The cubic root of 189621520 is about 574.5077273810.

The spelling of 189621520 in words is "one hundred eighty-nine million, six hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 121 152 176 190 209 220 242 304 380 418 440 484 605 760 836 880 968 1031 1045 1210 1520 1672 1936 2062 2090 2299 2420 3344 4124 4180 4598 4840 5155 8248 8360 9196 9680 10310 11341 11495 16496 16720 18392 19589 20620 22682 22990 36784 39178 41240 45364 45980 56705 78356 82480 90728 91960 97945 113410 124751 156712 181456 183920 195890 215479 226820 249502 313424 391780 430958 453640 499004 623755 783560 861916 907280 998008 1077395 1247510 1567120 1723832 1996016 2154790 2370269 2495020 3447664 4309580 4740538 4990040 8619160 9481076 9980080 11851345 17238320 18962152 23702690 37924304 47405380 94810760 189621520