Search a number
-
+
151013640 = 23357317239
BaseRepresentation
bin10010000000001…
…00100100001000
3101112011021202210
421000010210020
5302124414030
622552425120
73512411001
oct1100044410
9345137683
10151013640
1178274868
12426a81a0
13253953ab
14160b01a8
15d3cebb0
hex9004908

151013640 has 64 divisors (see below), whose sum is σ = 459273600. Its totient is φ = 39716352.

The previous prime is 151013623. The next prime is 151013647. The reversal of 151013640 is 46310151.

It is not an unprimeable number, because it can be changed into a prime (151013647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (7176150).

Almost surely, 2151013640 is an apocalyptic number.

151013640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229636800).

151013640 is an abundant number, since it is smaller than the sum of its proper divisors (308259960).

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

151013640 is a wasteful number, since it uses less digits than its factorization.

151013640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17326 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 151013640 is about 12288.7607186404. The cubic root of 151013640 is about 532.5234356764.

Adding to 151013640 its reverse (46310151), we get a palindrome (197323791).

The spelling of 151013640 in words is "one hundred fifty-one million, thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 17239 34478 51717 68956 86195 103434 137912 172390 206868 258585 344780 413736 517170 689560 1034340 1258447 2068680 2516894 3775341 5033788 6292235 7550682 10067576 12584470 15101364 18876705 25168940 30202728 37753410 50337880 75506820 151013640