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149506632 = 23321121312
BaseRepresentation
bin10001110100101…
…00101001001000
3101102022201112200
420322110221020
5301233203012
622500240200
73463533252
oct1072245110
9342281480
10149506632
1177435600
12420a0060
1324c88482
1415bdacd2
15d1d33dc
hex8e94a48

149506632 has 108 divisors (see below), whose sum is σ = 448493955. Its totient is φ = 44959200.

The previous prime is 149506613. The next prime is 149506633. The reversal of 149506632 is 236605941.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

149506632 is a `hidden beast` number, since 14 + 9 + 5 + 0 + 6 + 632 = 666.

149506632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74753316 + 74753316 = 8646^2 + 8646^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8646.

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

It is not an unprimeable number, because it can be changed into a prime (149506633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1141207 + ... + 1141337.

Almost surely, 2149506632 is an apocalyptic number.

149506632 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 149506632

149506632 is an abundant number, since it is smaller than the sum of its proper divisors (298987323).

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

149506632 is a wasteful number, since it uses less digits than its factorization.

149506632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 149506632 is about 12227.2904602778. The cubic root of 149506632 is about 530.7461094867.

The spelling of 149506632 in words is "one hundred forty-nine million, five hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 131 132 198 242 262 264 363 393 396 484 524 726 786 792 968 1048 1089 1179 1441 1452 1572 2178 2358 2882 2904 3144 4323 4356 4716 5764 8646 8712 9432 11528 12969 15851 17161 17292 25938 31702 34322 34584 47553 51483 51876 63404 68644 95106 102966 103752 126808 137288 142659 154449 188771 190212 205932 285318 308898 377542 380424 411864 566313 570636 617796 755084 1132626 1141272 1235592 1510168 1698939 2076481 2265252 3397878 4152962 4530504 6229443 6795756 8305924 12458886 13591512 16611848 18688329 24917772 37376658 49835544 74753316 149506632