Search a number
-
+
122690020 = 22517360853
BaseRepresentation
bin1110101000000…
…01100111100100
322112212022001211
413110001213210
5222402040040
620101401204
73016563565
oct724014744
9275768054
10122690020
1163289912
1235109204
131c55945b
141241a16c
15ab878ea
hex75019e4

122690020 has 24 divisors (see below), whose sum is σ = 272805624. Its totient is φ = 46189056.

The previous prime is 122689997. The next prime is 122690023. The reversal of 122690020 is 20096221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59105344 + 63584676 = 7688^2 + 7974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122689973 and 122690000.

It is not an unprimeable number, because it can be changed into a prime (122690023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180087 + ... + 180766.

It is an arithmetic number, because the mean of its divisors is an integer number (11366901).

Almost surely, 2122690020 is an apocalyptic number.

122690020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122690020 is an abundant number, since it is smaller than the sum of its proper divisors (150115604).

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

122690020 is a wasteful number, since it uses less digits than its factorization.

122690020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360879 (or 360877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 122690020 is about 11076.5527128254. The cubic root of 122690020 is about 496.9008569802.

The spelling of 122690020 in words is "one hundred twenty-two million, six hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 360853 721706 1443412 1804265 3608530 6134501 7217060 12269002 24538004 30672505 61345010 122690020