Search a number
-
+
122070560 = 2553124611
BaseRepresentation
bin1110100011010…
…10011000100000
322111200211022212
413101222120200
5222222224220
620040221252
73011403563
oct721523040
9274624285
10122070560
11629a6467
1234a6a828
131c3a0501
14122d84da
15aab40c5
hex746a620

122070560 has 48 divisors (see below), whose sum is σ = 297706752. Its totient is φ = 47251200.

The previous prime is 122070521. The next prime is 122070569. The reversal of 122070560 is 65070221.

It is not an unprimeable number, because it can be changed into a prime (122070569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7346 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (6202224).

Almost surely, 2122070560 is an apocalyptic number.

122070560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122070560 is an abundant number, since it is smaller than the sum of its proper divisors (175636192).

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

122070560 is a wasteful number, since it uses less digits than its factorization.

122070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24657 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 122070560 is about 11048.5546566055. The cubic root of 122070560 is about 496.0631639989.

The spelling of 122070560 in words is "one hundred twenty-two million, seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 24611 49222 98444 123055 196888 246110 393776 492220 762941 787552 984440 1525882 1968880 3051764 3814705 3937760 6103528 7629410 12207056 15258820 24414112 30517640 61035280 122070560