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149291505 = 34511233147
BaseRepresentation
bin10001110011000…
…00000111110001
3101101220210110000
420321200013301
5301204312010
622451500213
73461646126
oct1071400761
9341823400
10149291505
11772a8a10
1241bb7669
1324c1158c
1415b8274d
15d18e7c0
hex8e601f1

149291505 has 160 divisors (see below), whose sum is σ = 321159168. Its totient is φ = 65577600.

The previous prime is 149291491. The next prime is 149291509. The reversal of 149291505 is 505192941.

149291505 is a `hidden beast` number, since 149 + 2 + 9 + 1 + 505 = 666.

It is not a de Polignac number, because 149291505 - 24 = 149291489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 149291505.

It is not an unprimeable number, because it can be changed into a prime (149291509) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3176392 + ... + 3176438.

Almost surely, 2149291505 is an apocalyptic number.

149291505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149291505 is an abundant number, since it is smaller than the sum of its proper divisors (171867663).

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

149291505 is a wasteful number, since it uses less digits than its factorization.

149291505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 149291505 is about 12218.4902913576. The cubic root of 149291505 is about 530.4914215072.

The spelling of 149291505 in words is "one hundred forty-nine million, two hundred ninety-one thousand, five hundred five".

Divisors: 1 3 5 9 11 15 23 27 31 33 45 47 55 69 81 93 99 115 135 141 155 165 207 235 253 279 297 341 345 405 423 465 495 517 621 705 713 759 837 891 1023 1035 1081 1265 1269 1395 1457 1485 1551 1705 1863 2115 2139 2277 2511 2585 3069 3105 3243 3565 3795 3807 4185 4371 4455 4653 5115 5405 6345 6417 6831 7285 7755 7843 9207 9315 9729 10695 11385 11891 12555 13113 13959 15345 16027 16215 19035 19251 20493 21855 23265 23529 27621 29187 32085 33511 34155 35673 39215 39339 41877 46035 48081 48645 57753 59455 65565 69795 70587 80135 87561 96255 100533 102465 107019 117645 118017 138105 144243 145935 167555 178365 196695 209385 211761 240405 288765 301599 321057 352935 368621 432729 437805 502665 535095 590085 635283 721215 904797 963171 1058805 1105863 1298187 1507995 1605285 1843105 2163645 2714391 3176415 3317589 4523985 4815855 5529315 6490935 9952767 13571955 16587945 29858301 49763835 149291505