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191420928 = 293361227
BaseRepresentation
bin10110110100011…
…01101000000000
3111100012012011000
423122031220000
5343000432203
630554452000
74513023336
oct1332155000
9440165130
10191420928
1199063416
1254134000
133087242a
141b5cbb56
1511c124a3
hexb68da00

191420928 has 160 divisors (see below), whose sum is σ = 578445120. Its totient is φ = 62484480.

The previous prime is 191420903. The next prime is 191420963. The reversal of 191420928 is 829024191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 191420892 and 191420901.

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, 843151 + ... + 843377.

It is an arithmetic number, because the mean of its divisors is an integer number (3615282).

Almost surely, 2191420928 is an apocalyptic number.

191420928 is a gapful number since it is divisible by the number (18) 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 191420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289222560).

191420928 is an abundant number, since it is smaller than the sum of its proper divisors (387024192).

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

191420928 is an equidigital number, since it uses as much as digits as its factorization.

191420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 191420928 is about 13835.4952206273. The cubic root of 191420928 is about 576.3192674470.

The spelling of 191420928 in words is "one hundred ninety-one million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 227 244 256 288 366 384 432 454 488 512 549 576 681 732 768 864 908 976 1098 1152 1362 1464 1536 1647 1728 1816 1952 2043 2196 2304 2724 2928 3294 3456 3632 3904 4086 4392 4608 5448 5856 6129 6588 6912 7264 7808 8172 8784 10896 11712 12258 13176 13824 13847 14528 15616 16344 17568 21792 23424 24516 26352 27694 29056 31232 32688 35136 41541 43584 46848 49032 52704 55388 58112 65376 70272 83082 87168 93696 98064 105408 110776 116224 124623 130752 140544 166164 174336 196128 210816 221552 249246 261504 281088 332328 348672 373869 392256 421632 443104 498492 523008 664656 747738 784512 843264 886208 996984 1046016 1329312 1495476 1569024 1772416 1993968 2658624 2990952 3138048 3544832 3987936 5317248 5981904 7089664 7975872 10634496 11963808 15951744 21268992 23927616 31903488 47855232 63806976 95710464 191420928