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149214636 = 223737461
BaseRepresentation
bin10001110010011…
…01010110101100
3101101202220000000
420321031112230
5301144332021
622450104300
73461206044
oct1071152654
9341686000
10149214636
117725618a
1241b7b090
1324bb55ac
1415b62724
15d176b26
hex8e4d5ac

149214636 has 96 divisors (see below), whose sum is σ = 403085760. Its totient is φ = 48288960.

The previous prime is 149214629. The next prime is 149214649. The reversal of 149214636 is 636412941.

149214636 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 14 + 636 = 666.

149214636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1492146362 = 44530015193224992, 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 self number, because there is not a number n which added to its sum of digits gives 149214636.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323446 + ... + 323906.

It is an arithmetic number, because the mean of its divisors is an integer number (4198810).

Almost surely, 2149214636 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 149214636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201542880).

149214636 is an abundant number, since it is smaller than the sum of its proper divisors (253871124).

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

149214636 is an equidigital number, since it uses as much as digits as its factorization.

149214636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 149214636 is about 12215.3442849557. The cubic root of 149214636 is about 530.4003572816.

The spelling of 149214636 in words is "one hundred forty-nine million, two hundred fourteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 461 486 666 729 922 972 999 1332 1383 1458 1844 1998 2187 2766 2916 2997 3996 4149 4374 5532 5994 8298 8748 8991 11988 12447 16596 17057 17982 24894 26973 34114 35964 37341 49788 51171 53946 68228 74682 80919 102342 107892 112023 149364 153513 161838 204684 224046 307026 323676 336069 448092 460539 614052 672138 921078 1008207 1344276 1381617 1842156 2016414 2763234 4032828 4144851 5526468 8289702 12434553 16579404 24869106 37303659 49738212 74607318 149214636