Search a number
-
+
122052020 = 2259296569
BaseRepresentation
bin1110100011001…
…01110110110100
322111122212220012
413101211312310
5222221131040
620035555352
73011265536
oct721456664
9274585805
10122052020
1162993542
1234a5bb58
131c394c3c
14122d1856
15aaad865
hex7465db4

122052020 has 24 divisors (see below), whose sum is σ = 256624200. Its totient is φ = 48760832.

The previous prime is 122052001. The next prime is 122052037. The reversal of 122052020 is 20250221.

It can be written as a sum of positive squares in 4 ways, for example, as 6360484 + 115691536 = 2522^2 + 10756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122051986 and 122052004.

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, 15296 + ... + 21864.

It is an arithmetic number, because the mean of its divisors is an integer number (10692675).

Almost surely, 2122052020 is an apocalyptic number.

122052020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122052020 is an abundant number, since it is smaller than the sum of its proper divisors (134572180).

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

122052020 is a wasteful number, since it uses less digits than its factorization.

122052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 122052020 is about 11047.7156009738. The cubic root of 122052020 is about 496.0380488068.

The spelling of 122052020 in words is "one hundred twenty-two million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 929 1858 3716 4645 6569 9290 13138 18580 26276 32845 65690 131380 6102601 12205202 24410404 30513005 61026010 122052020