Search a number
-
+
189746880 = 2635239827
BaseRepresentation
bin10110100111101…
…00111011000000
3111020001010210020
423103310323000
5342033400010
630454533440
74462551621
oct1323647300
9436033706
10189746880
119811a704
1253667280
133040747b
141b2b3a48
15119d1470
hexb4f4ec0

189746880 has 112 divisors (see below), whose sum is σ = 605698560. Its totient is φ = 50326528.

The previous prime is 189746867. The next prime is 189746899. The reversal of 189746880 is 88647981.

189746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229027 + ... + 229853.

Almost surely, 2189746880 is an apocalyptic number.

189746880 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 189746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302849280).

189746880 is an abundant number, since it is smaller than the sum of its proper divisors (415951680).

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

189746880 is a wasteful number, since it uses less digits than its factorization.

189746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 189746880 is about 13774.8640646650. The cubic root of 189746880 is about 574.6343030698.

The spelling of 189746880 in words is "one hundred eighty-nine million, seven hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 239 240 320 478 480 717 827 956 960 1195 1434 1654 1912 2390 2481 2868 3308 3585 3824 4135 4780 4962 5736 6616 7170 7648 8270 9560 9924 11472 12405 13232 14340 15296 16540 19120 19848 22944 24810 26464 28680 33080 38240 39696 45888 49620 52928 57360 66160 76480 79392 99240 114720 132320 158784 197653 198480 229440 264640 395306 396960 592959 790612 793920 988265 1185918 1581224 1976530 2371836 2964795 3162448 3953060 4743672 5929590 6324896 7906120 9487344 11859180 12649792 15812240 18974688 23718360 31624480 37949376 47436720 63248960 94873440 189746880