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149401692 = 223311671877
BaseRepresentation
bin10001110011110…
…11000001011100
3101102010101121000
420321323001130
5301221323232
622454110300
73462615306
oct1071730134
9342111530
10149401692
1177373780
124204b390
1324c4c78b
1415bb0976
15d1b227c
hex8e7b05c

149401692 has 96 divisors (see below), whose sum is σ = 429085440. Its totient is φ = 44573760.

The previous prime is 149401691. The next prime is 149401709. The reversal of 149401692 is 296104941.

It is a happy number.

149401692 is a `hidden beast` number, since 1 + 494 + 0 + 169 + 2 = 666.

149401692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149401691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78658 + ... + 80534.

It is an arithmetic number, because the mean of its divisors is an integer number (4469640).

Almost surely, 2149401692 is an apocalyptic number.

149401692 is a gapful number since it is divisible by the number (12) 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 149401692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214542720).

149401692 is an abundant number, since it is smaller than the sum of its proper divisors (279683748).

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

149401692 is a wasteful number, since it uses less digits than its factorization.

149401692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149401692 is about 12222.9984864599. The cubic root of 149401692 is about 530.6219019909.

The spelling of 149401692 in words is "one hundred forty-nine million, four hundred one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 132 134 198 201 268 297 396 402 594 603 737 804 1188 1206 1474 1809 1877 2211 2412 2948 3618 3754 4422 5631 6633 7236 7508 8844 11262 13266 16893 19899 20647 22524 26532 33786 39798 41294 50679 61941 67572 79596 82588 101358 123882 125759 185823 202716 247764 251518 371646 377277 503036 557469 743292 754554 1114938 1131831 1383349 1509108 2229876 2263662 2766698 3395493 4150047 4527324 5533396 6790986 8300094 12450141 13581972 16600188 24900282 37350423 49800564 74700846 149401692