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122887980 = 223254315877
BaseRepresentation
bin1110101001100…
…01111100101100
322120020100121200
413110301330230
5222424403410
620105525500
73021346665
oct724617454
9276210550
10122887980
1163404616
12351a3890
131c5c85a7
141246c36c
15abc63c0
hex7531f2c

122887980 has 72 divisors (see below), whose sum is σ = 381453072. Its totient is φ = 32006016.

The previous prime is 122887979. The next prime is 122887987. The reversal of 122887980 is 89788221.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122887987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 15678.

Almost surely, 2122887980 is an apocalyptic number.

122887980 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 122887980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190726536).

122887980 is an abundant number, since it is smaller than the sum of its proper divisors (258565092).

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

122887980 is a wasteful number, since it uses less digits than its factorization.

122887980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 122887980 is about 11085.4851044057. The cubic root of 122887980 is about 497.1679627489.

The spelling of 122887980 in words is "one hundred twenty-two million, eight hundred eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 15877 31754 47631 63508 79385 95262 142893 158770 190524 238155 285786 317540 476310 571572 682711 714465 952620 1365422 1428930 2048133 2730844 2857860 3413555 4096266 6144399 6827110 8192532 10240665 12288798 13654220 20481330 24577596 30721995 40962660 61443990 122887980