Search a number
-
+
149870556 = 2232111919919
BaseRepresentation
bin10001110111011…
…01011111011100
3101110000012202100
420323231133130
5301331324211
622512125100
73466610253
oct1073553734
9343005670
10149870556
1177663a70
1242236790
1325085004
1415c9379a
15d256156
hex8eed7dc

149870556 has 72 divisors (see below), whose sum is σ = 435052800. Its totient is φ = 43022880.

The previous prime is 149870551. The next prime is 149870569. The reversal of 149870556 is 655078941.

149870556 is a `hidden beast` number, since 1 + 4 + 98 + 7 + 0 + 556 = 666.

It is a super-2 number, since 2×1498705562 = 44922367111498272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149870551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (6042400).

Almost surely, 2149870556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149870556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217526400).

149870556 is an abundant number, since it is smaller than the sum of its proper divisors (285182244).

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

149870556 is a wasteful number, since it uses less digits than its factorization.

149870556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19959 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 149870556 is about 12242.1630441683. The cubic root of 149870556 is about 531.1764019659.

It can be divided in two parts, 149870 and 556, that added together give a triangular number (150426 = T548).

The spelling of 149870556 in words is "one hundred forty-nine million, eight hundred seventy thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 19919 39838 59757 79676 119514 179271 219109 239028 358542 378461 438218 657327 717084 756922 876436 1135383 1314654 1513844 1971981 2270766 2629308 3406149 3943962 4163071 4541532 6812298 7887924 8326142 12489213 13624596 16652284 24978426 37467639 49956852 74935278 149870556