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149106078 = 232113720353
BaseRepresentation
bin10001110001100…
…10110110011110
3101101120101002100
420320302312132
5301132343303
622443505530
73460244412
oct1070626636
9341511070
10149106078
1177191670
1241b282a6
1324b78064
1415b34d42
15d1548a3
hex8e32d9e

149106078 has 48 divisors (see below), whose sum is σ = 361975536. Its totient is φ = 43960320.

The previous prime is 149106073. The next prime is 149106109. The reversal of 149106078 is 870601941.

149106078 is a `hidden beast` number, since 1 + 49 + 1 + 0 + 607 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149106073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2851 + ... + 17502.

It is an arithmetic number, because the mean of its divisors is an integer number (7541157).

Almost surely, 2149106078 is an apocalyptic number.

149106078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

149106078 is an abundant number, since it is smaller than the sum of its proper divisors (212869458).

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

149106078 is a wasteful number, since it uses less digits than its factorization.

149106078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 149106078 is about 12210.8999668329. The cubic root of 149106078 is about 530.2716988320.

The spelling of 149106078 in words is "one hundred forty-nine million, one hundred six thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 20353 40706 61059 122118 183177 223883 366354 447766 671649 753061 1343298 1506122 2014947 2259183 4029894 4518366 6777549 8283671 13555098 16567342 24851013 49702026 74553039 149106078