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189637920 = 25325791667
BaseRepresentation
bin10110100110110…
…10010100100000
3111012211121022200
423103122110200
5342021403140
630452333200
74461616143
oct1323322440
9435747280
10189637920
119805585a
1253614200
13303999b4
141b28605a
15119ae030
hexb4da520

189637920 has 144 divisors (see below), whose sum is σ = 655724160. Its totient is φ = 49900032.

The previous prime is 189637901. The next prime is 189637933. The reversal of 189637920 is 29736981.

189637920 is a `hidden beast` number, since 1 + 8 + 9 + 637 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112927 + ... + 114593.

It is an arithmetic number, because the mean of its divisors is an integer number (4553640).

Almost surely, 2189637920 is an apocalyptic number.

189637920 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 189637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327862080).

189637920 is an abundant number, since it is smaller than the sum of its proper divisors (466086240).

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

189637920 is a wasteful number, since it uses less digits than its factorization.

189637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 189637920 is about 13770.9084667643. The cubic root of 189637920 is about 574.5242895924.

The spelling of 189637920 in words is "one hundred eighty-nine million, six hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1667 1896 2370 2528 2844 3160 3334 3555 3792 4740 5001 5688 6320 6668 7110 7584 8335 9480 10002 11376 12640 13336 14220 15003 16670 18960 20004 22752 25005 26672 28440 30006 33340 37920 40008 50010 53344 56880 60012 66680 75015 80016 100020 113760 120024 131693 133360 150030 160032 200040 240048 263386 266720 300060 395079 400080 480096 526772 600120 658465 790158 800160 1053544 1185237 1200240 1316930 1580316 1975395 2107088 2370474 2400480 2633860 3160632 3950790 4214176 4740948 5267720 5926185 6321264 7901580 9481896 10535440 11852370 12642528 15803160 18963792 21070880 23704740 31606320 37927584 47409480 63212640 94818960 189637920