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189670272 = 2731183541
BaseRepresentation
bin10110100111000…
…10001110000000
3111012220020200220
423103202032000
5342023422042
630453143040
74462112361
oct1323421600
9435806626
10189670272
11980780a0
125362aa80
13303ab63c
141b293b68
15119b88ec
hexb4e2380

189670272 has 128 divisors (see below), whose sum is σ = 557262720. Its totient is φ = 56678400.

The previous prime is 189670267. The next prime is 189670297. The reversal of 189670272 is 272076981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350322 + ... + 350862.

It is an arithmetic number, because the mean of its divisors is an integer number (4353615).

Almost surely, 2189670272 is an apocalyptic number.

189670272 is a gapful number since it is divisible by the number (12) 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 189670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278631360).

189670272 is an abundant number, since it is smaller than the sum of its proper divisors (367592448).

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

189670272 is a wasteful number, since it uses less digits than its factorization.

189670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 189670272 is about 13772.0830668421. The cubic root of 189670272 is about 574.5569587846.

The spelling of 189670272 in words is "one hundred eighty-nine million, six hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 332 352 384 498 528 541 664 704 913 996 1056 1082 1328 1408 1623 1826 1992 2112 2164 2656 2739 3246 3652 3984 4224 4328 5312 5478 5951 6492 7304 7968 8656 10624 10956 11902 12984 14608 15936 17312 17853 21912 23804 25968 29216 31872 34624 35706 43824 44903 47608 51936 58432 69248 71412 87648 89806 95216 103872 116864 134709 142824 175296 179612 190432 207744 269418 285648 350592 359224 380864 493933 538836 571296 718448 761728 987866 1077672 1142592 1436896 1481799 1975732 2155344 2285184 2873792 2963598 3951464 4310688 5747584 5927196 7902928 8621376 11854392 15805856 17242752 23708784 31611712 47417568 63223424 94835136 189670272