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149986305 = 32572251271
BaseRepresentation
bin10001111000010…
…01110000000001
3101110020002112100
420330021300001
5301344030210
622514421013
73500601600
oct1074116001
9343202470
10149986305
1177732a27
1242291769
13250c58c1
1415cc3a37
15d27a5c0
hex8f09c01

149986305 has 72 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 68040000.

The previous prime is 149986303. The next prime is 149986307. The reversal of 149986305 is 503689941.

It is a happy number.

149986305 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 8 + 630 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (149986303) and next prime (149986307).

It is not a de Polignac number, because 149986305 - 21 = 149986303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149986301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553320 + ... + 553590.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2149986305 is an apocalyptic number.

149986305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149986305 is an abundant number, since it is smaller than the sum of its proper divisors (154760319).

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

149986305 is a wasteful number, since it uses less digits than its factorization.

149986305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149986305 is about 12246.8896051202. The cubic root of 149986305 is about 531.3131139779.

The spelling of 149986305 in words is "one hundred forty-nine million, nine hundred eighty-six thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 251 271 315 441 735 753 813 1255 1355 1757 1897 2205 2259 2439 3765 4065 5271 5691 8785 9485 11295 12195 12299 13279 15813 17073 26355 28455 36897 39837 61495 66395 68021 79065 85365 110691 119511 184485 199185 204063 340105 476147 553455 597555 612189 1020315 1428441 2380735 3060945 3333029 4285323 7142205 9999087 16665145 21426615 29997261 49995435 149986305