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149806104 = 23376713309
BaseRepresentation
bin10001110110111…
…01110000011000
3101102212221100020
420323131300120
5301322243404
622510510440
73466221330
oct1073356030
9342787306
10149806104
117761a5a8
1242205420
1325061886
1415c780c0
15d241ed9
hex8eddc18

149806104 has 64 divisors (see below), whose sum is σ = 434438400. Its totient is φ = 42159744.

The previous prime is 149806079. The next prime is 149806117. The reversal of 149806104 is 401608941.

149806104 is digitally balanced in base 2 and base 3, because in such bases 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, 4602 + ... + 17910.

It is an arithmetic number, because the mean of its divisors is an integer number (6788100).

Almost surely, 2149806104 is an apocalyptic number.

149806104 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 149806104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217219200).

149806104 is an abundant number, since it is smaller than the sum of its proper divisors (284632296).

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

149806104 is a wasteful number, since it uses less digits than its factorization.

149806104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 149806104 is about 12239.5303831479. The cubic root of 149806104 is about 531.1002467130.

The spelling of 149806104 in words is "one hundred forty-nine million, eight hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 13309 26618 39927 53236 79854 93163 106472 159708 186326 279489 319416 372652 558978 745304 891703 1117956 1783406 2235912 2675109 3566812 5350218 6241921 7133624 10700436 12483842 18725763 21400872 24967684 37451526 49935368 74903052 149806104