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189349104 = 2437653863
BaseRepresentation
bin10110100100100…
…11110011110000
3111012021221010210
423102103303300
5341433132404
630442224120
74456304130
oct1322236360
9435257123
10189349104
119797886a
12534b5040
13302c83b9
141b20cac0
1511953689
hexb493cf0

189349104 has 80 divisors (see below), whose sum is σ = 560535552. Its totient is φ = 53954304.

The previous prime is 189349073. The next prime is 189349157. The reversal of 189349104 is 401943981.

189349104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 218977 + ... + 219839.

Almost surely, 2189349104 is an apocalyptic number.

189349104 is a gapful number since it is divisible by the number (14) 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 189349104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280267776).

189349104 is an abundant number, since it is smaller than the sum of its proper divisors (371186448).

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

189349104 is a wasteful number, since it uses less digits than its factorization.

189349104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 189349104 is about 13760.4180169063. The cubic root of 189349104 is about 574.2324771464.

The spelling of 189349104 in words is "one hundred eighty-nine million, three hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 653 863 1306 1726 1959 2589 2612 3452 3918 4571 5178 5224 6041 6904 7836 9142 10356 10448 12082 13713 13808 15672 18123 18284 20712 24164 27426 31344 36246 36568 41424 48328 54852 72492 73136 96656 109704 144984 219408 289968 563539 1127078 1690617 2254156 3381234 3944773 4508312 6762468 7889546 9016624 11834319 13524936 15779092 23668638 27049872 31558184 47337276 63116368 94674552 189349104