Search a number
-
+
2137525170 = 2351115741257
BaseRepresentation
bin111111101101000…
…0000101110110010
312111222010112021220
41333122000232302
513334201301140
6552034325510
7103653443544
oct17732005662
95458115256
102137525170
119a7639330
124b7a29896
13280ac90c1
14163c57694
15c79cabd0
hex7f680bb2

2137525170 has 64 divisors (see below), whose sum is σ = 5632212096. Its totient is φ = 514874880.

The previous prime is 2137525153. The next prime is 2137525177. The reversal of 2137525170 is 715257312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2137525177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31182 + ... + 72438.

It is an arithmetic number, because the mean of its divisors is an integer number (88003314).

Almost surely, 22137525170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137525170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816106048).

2137525170 is an abundant number, since it is smaller than the sum of its proper divisors (3494686926).

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

2137525170 is a wasteful number, since it uses less digits than its factorization.

2137525170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41435.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 2137525170 is about 46233.3772290106. The cubic root of 2137525170 is about 1288.1617890363.

The spelling of 2137525170 in words is "two billion, one hundred thirty-seven million, five hundred twenty-five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 314 330 471 785 942 1570 1727 2355 3454 4710 5181 8635 10362 17270 25905 41257 51810 82514 123771 206285 247542 412570 453827 618855 907654 1237710 1361481 2269135 2722962 4538270 6477349 6807405 12954698 13614810 19432047 32386745 38864094 64773490 71250839 97160235 142501678 194320470 213752517 356254195 427505034 712508390 1068762585 2137525170