Search a number
-
+
152930934 = 232132572543
BaseRepresentation
bin10010001110110…
…00101001110110
3101122202200210200
421013120221312
5303122242214
623101501330
73534614532
oct1107305166
9348680720
10152930934
1179364302
1243271846
13258b6ca0
141644cbc2
15d65cd09
hex91d8a76

152930934 has 48 divisors (see below), whose sum is σ = 358368192. Its totient is φ = 46854144.

The previous prime is 152930893. The next prime is 152930941. The reversal of 152930934 is 439039251.

It is a happy number.

152930934 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 2×1529309342 = 46775741148224712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58867 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (7466004).

Almost surely, 2152930934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152930934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179184096).

152930934 is an abundant number, since it is smaller than the sum of its proper divisors (205437258).

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

152930934 is a wasteful number, since it uses less digits than its factorization.

152930934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 152930934 is about 12366.5247341361. The cubic root of 152930934 is about 534.7676330993.

The spelling of 152930934 in words is "one hundred fifty-two million, nine hundred thirty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 514 771 1542 2313 2543 3341 4626 5086 6682 7629 10023 15258 20046 22887 30069 33059 45774 60138 66118 99177 198354 297531 595062 653551 1307102 1960653 3921306 5881959 8496163 11763918 16992326 25488489 50976978 76465467 152930934