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189957060 = 223251967829
BaseRepresentation
bin10110101001010…
…00001111000100
3111020102211002200
423110220033010
5342112111220
630503234500
74464415446
oct1324501704
9436384080
10189957060
1198253607
1253748a30
133047c037
141b32a496
1511a23890
hexb5283c4

189957060 has 144 divisors (see below), whose sum is σ = 616324800. Its totient is φ = 47215872.

The previous prime is 189957043. The next prime is 189957067. The reversal of 189957060 is 60759981.

189957060 is a `hidden beast` number, since 18 + 9 + 9 + 570 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 189956997 and 189957015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189957067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228726 + ... + 229554.

Almost surely, 2189957060 is an apocalyptic number.

189957060 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 189957060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308162400).

189957060 is an abundant number, since it is smaller than the sum of its proper divisors (426367740).

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

189957060 is a wasteful number, since it uses less digits than its factorization.

189957060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 189957060 is about 13782.4910665670. The cubic root of 189957060 is about 574.8463962735.

The spelling of 189957060 in words is "one hundred eighty-nine million, nine hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 228 268 285 335 342 380 402 570 603 670 684 804 829 855 1005 1140 1206 1273 1340 1658 1710 2010 2412 2487 2546 3015 3316 3420 3819 4020 4145 4974 5092 6030 6365 7461 7638 8290 9948 11457 12060 12435 12730 14922 15276 15751 16580 19095 22914 24870 25460 29844 31502 37305 38190 45828 47253 49740 55543 57285 63004 74610 76380 78755 94506 111086 114570 141759 149220 157510 166629 189012 222172 229140 236265 277715 283518 315020 333258 472530 499887 555430 567036 666516 708795 833145 945060 999774 1055317 1110860 1417590 1666290 1999548 2110634 2499435 2835180 3165951 3332580 4221268 4998870 5276585 6331902 9497853 9997740 10553170 12663804 15829755 18995706 21106340 31659510 37991412 47489265 63319020 94978530 189957060