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152013114 = 232112712833
BaseRepresentation
bin10010000111110…
…00100100111010
3101121001001210100
421003320210322
5302403404424
623030100230
73524042631
oct1103704472
9347031710
10152013114
1178897780
1242aaa676
13256552b6
1416290518
15d52adc9
hex90f893a

152013114 has 48 divisors (see below), whose sum is σ = 360756864. Its totient is φ = 45878400.

The previous prime is 152013107. The next prime is 152013179. The reversal of 152013114 is 411310251.

152013114 is a `hidden beast` number, since 1 + 520 + 131 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52242 + ... + 55074.

It is an arithmetic number, because the mean of its divisors is an integer number (7515768).

Almost surely, 2152013114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152013114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180378432).

152013114 is an abundant number, since it is smaller than the sum of its proper divisors (208743750).

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

152013114 is a wasteful number, since it uses less digits than its factorization.

152013114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152013114 is about 12329.3598373963. The cubic root of 152013114 is about 533.6956772939.

Adding to 152013114 its reverse (411310251), we get a palindrome (563323365).

The spelling of 152013114 in words is "one hundred fifty-two million, thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 813 1626 2439 2833 2981 4878 5666 5962 8499 8943 16998 17886 25497 26829 31163 50994 53658 62326 93489 186978 280467 560934 767743 1535486 2303229 4606458 6909687 8445173 13819374 16890346 25335519 50671038 76006557 152013114