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191896980 = 223511479607
BaseRepresentation
bin10110111000000…
…01110110010100
3111101002101011120
423130001312110
5343111200410
631013003540
74520045262
oct1334016624
9441071146
10191896980
1199359050
12543235b0
13309ab012
141b6b3432
1511ca8570
hexb701d94

191896980 has 96 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 46346880.

The previous prime is 191896967. The next prime is 191897011. The reversal of 191896980 is 89698191.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315837 + ... + 316443.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2191896980 is an apocalyptic number.

191896980 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 191896980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

191896980 is an abundant number, since it is smaller than the sum of its proper divisors (396452460).

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

191896980 is a wasteful number, since it uses less digits than its factorization.

191896980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 51.

The square root of 191896980 is about 13852.6885477152. The cubic root of 191896980 is about 576.7966287251.

The spelling of 191896980 in words is "one hundred ninety-one million, eight hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 479 607 660 958 1214 1437 1821 1916 2395 2428 2874 3035 3642 4790 5269 5748 6070 6677 7185 7284 9105 9580 10538 12140 13354 14370 15807 18210 20031 21076 26345 26708 28740 31614 33385 36420 40062 52690 63228 66770 79035 80124 100155 105380 133540 158070 200310 290753 316140 400620 581506 872259 1163012 1453765 1744518 2907530 3198283 3489036 4361295 5815060 6396566 8722590 9594849 12793132 15991415 17445180 19189698 31982830 38379396 47974245 63965660 95948490 191896980