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191139480 = 233357131193
BaseRepresentation
bin10110110010010…
…00111010011000
3111022122220002000
423121020322120
5342412430410
630544441000
74510441650
oct1331107230
9438586060
10191139480
1198990a14
1254019160
13307a42ac
141b557360
1511ba8dc0
hexb648e98

191139480 has 256 divisors, whose sum is σ = 737510400. Its totient is φ = 43130880.

The previous prime is 191139479. The next prime is 191139503. The reversal of 191139480 is 84931191.

191139480 is a `hidden beast` number, since 191 + 1 + 394 + 80 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 990264 + ... + 990456.

It is an arithmetic number, because the mean of its divisors is an integer number (2880900).

Almost surely, 2191139480 is an apocalyptic number.

191139480 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 191139480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368755200).

191139480 is an abundant number, since it is smaller than the sum of its proper divisors (546370920).

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

191139480 is a wasteful number, since it uses less digits than its factorization.

191139480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 191139480 is about 13825.3202494553. The cubic root of 191139480 is about 576.0366730123.

The spelling of 191139480 in words is "one hundred ninety-one million, one hundred thirty-nine thousand, four hundred eighty".