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149126616 = 23333122271
BaseRepresentation
bin10001110001101…
…11110111011000
3101101121102021000
420320313313120
5301134022431
622444145000
73460361322
oct1070676730
9341542230
10149126616
11771a6041
1241b38160
1324b84502
1415b3c612
15d15a9e6
hex8e37dd8

149126616 has 64 divisors (see below), whose sum is σ = 427622400. Its totient is φ = 48103200.

The previous prime is 149126603. The next prime is 149126633. The reversal of 149126616 is 616621941.

149126616 is a `hidden beast` number, since 14 + 9 + 1 + 26 + 616 = 666.

It is a super-2 number, since 2×1491266162 = 44477495199222912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440 + ... + 17831.

It is an arithmetic number, because the mean of its divisors is an integer number (6681600).

Almost surely, 2149126616 is an apocalyptic number.

It is an amenable number.

149126616 is an abundant number, since it is smaller than the sum of its proper divisors (278495784).

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

149126616 is a wasteful number, since it uses less digits than its factorization.

149126616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22317 (or 22307 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 149126616 is about 12211.7409078313. The cubic root of 149126616 is about 530.2960444082.

It can be divided in two parts, 14912 and 6616, that added together give a triangular number (21528 = T207).

The spelling of 149126616 in words is "one hundred forty-nine million, one hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 22271 44542 66813 89084 133626 178168 200439 267252 400878 534504 601317 690401 801756 1202634 1380802 1603512 2071203 2405268 2761604 4142406 4810536 5523208 6213609 8284812 12427218 16569624 18640827 24854436 37281654 49708872 74563308 149126616