Search a number
-
+
120975296 = 2613971499
BaseRepresentation
bin1110011010111…
…10111111000000
322102122011220112
413031132333000
5221432202141
620000530452
72666162441
oct715367700
9272564815
10120975296
1162318592
1234620a28
131c0a8b20
14120d12c8
15a9497eb
hex735efc0

120975296 has 56 divisors (see below), whose sum is σ = 261366000. Its totient is φ = 55222272.

The previous prime is 120975287. The next prime is 120975313. The reversal of 120975296 is 692579021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79955 + ... + 81453.

It is an arithmetic number, because the mean of its divisors is an integer number (4667250).

Almost surely, 2120975296 is an apocalyptic number.

120975296 is a gapful number since it is divisible by the number (16) 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 120975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130683000).

120975296 is an abundant number, since it is smaller than the sum of its proper divisors (140390704).

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

120975296 is a wasteful number, since it uses less digits than its factorization.

120975296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 120975296 is about 10998.8770335885. The cubic root of 120975296 is about 494.5750813880.

The spelling of 120975296 in words is "one hundred twenty million, nine hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 832 1261 1499 1552 2522 2998 3104 5044 5996 6208 10088 11992 19487 20176 23984 38974 40352 47968 77948 80704 95936 145403 155896 290806 311792 581612 623584 1163224 1247168 1890239 2326448 3780478 4652896 7560956 9305792 15121912 30243824 60487648 120975296