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122777980 = 225133115233
BaseRepresentation
bin1110101000101…
…11000101111100
322120000202201121
413110113011330
5222412343410
620103320324
73020411203
oct724270574
9276022647
10122777980
1163339a06
12351500a4
131c58a4c0
141244023a
15aba39da
hex751717c

122777980 has 48 divisors (see below), whose sum is σ = 286642944. Its totient is φ = 43868160.

The previous prime is 122777971. The next prime is 122777983. The reversal of 122777980 is 89777221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122777983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 15676.

It is an arithmetic number, because the mean of its divisors is an integer number (5971728).

Almost surely, 2122777980 is an apocalyptic number.

122777980 is a gapful number since it is divisible by the number (10) 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 122777980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143321472).

122777980 is an abundant number, since it is smaller than the sum of its proper divisors (163864964).

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

122777980 is a wasteful number, since it uses less digits than its factorization.

122777980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 43.

The square root of 122777980 is about 11080.5225508547. The cubic root of 122777980 is about 497.0195761134.

The spelling of 122777980 in words is "one hundred twenty-two million, seven hundred seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 15233 30466 60932 76165 152330 198029 304660 396058 472223 792116 944446 990145 1888892 1980290 2361115 3960580 4722230 6138899 9444460 12277798 24555596 30694495 61388990 122777980