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153013146 = 2311131391283
BaseRepresentation
bin10010001111011…
…00101110011010
3101122220212120120
421013230232122
5303132410041
623103334110
73535406316
oct1107545632
9348825516
10153013146
1179410050
12432b1336
1325915530
1416470b46
15d677366
hex91ecb9a

153013146 has 64 divisors (see below), whose sum is σ = 362396160. Its totient is φ = 42459840.

The previous prime is 153013139. The next prime is 153013151. The reversal of 153013146 is 641310351.

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, 118621 + ... + 119903.

It is an arithmetic number, because the mean of its divisors is an integer number (5662440).

Almost surely, 2153013146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153013146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181198080).

153013146 is an abundant number, since it is smaller than the sum of its proper divisors (209383014).

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

153013146 is a wasteful number, since it uses less digits than its factorization.

153013146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 153013146 is about 12369.8482609933. The cubic root of 153013146 is about 534.8634420152.

Adding to 153013146 its reverse (641310351), we get a palindrome (794323497).

The spelling of 153013146 in words is "one hundred fifty-three million, thirteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 139 143 278 286 417 429 834 858 1283 1529 1807 2566 3058 3614 3849 4587 5421 7698 9174 10842 14113 16679 19877 28226 33358 39754 42339 50037 59631 84678 100074 119262 178337 183469 356674 366938 535011 550407 1070022 1100814 1961707 2318381 3923414 4636762 5885121 6955143 11770242 13910286 25502191 51004382 76506573 153013146