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149217705 = 32571322803
BaseRepresentation
bin10001110010011…
…10000110101001
3101101210001012200
420321032012221
5301144431310
622450130413
73461221020
oct1071160651
9341701180
10149217705
117725851a
1241b80a09
1324bb6b00
1415b638b7
15d1779c0
hex8e4e1a9

149217705 has 72 divisors (see below), whose sum is σ = 320194368. Its totient is φ = 62944128.

The previous prime is 149217671. The next prime is 149217727. The reversal of 149217705 is 507712941.

It is a happy number.

It is not a de Polignac number, because 149217705 - 212 = 149213609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 149217705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51834 + ... + 54636.

It is an arithmetic number, because the mean of its divisors is an integer number (4447144).

Almost surely, 2149217705 is an apocalyptic number.

149217705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149217705 is an abundant number, since it is smaller than the sum of its proper divisors (170976663).

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

149217705 is a wasteful number, since it uses less digits than its factorization.

149217705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149217705 is about 12215.4699050016. The cubic root of 149217705 is about 530.4039936262.

The spelling of 149217705 in words is "one hundred forty-nine million, two hundred seventeen thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 1183 1365 1521 2535 2803 3549 4095 5915 7605 8409 10647 14015 17745 19621 25227 36439 42045 53235 58863 98105 109317 126135 176589 182195 255073 294315 327951 473707 546585 765219 882945 1275365 1421121 1639755 2295657 2368535 3315949 3826095 4263363 7105605 9947847 11478285 16579745 21316815 29843541 49739235 149217705