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1623120980 = 2251319217293
BaseRepresentation
bin110000010111110…
…1101110001010100
311012010012002101212
41200233231301110
511311004332410
6425021040552
755136205065
oct14057556124
94163162355
101623120980
117632338a8
123936b6158
131cb36c920
141157d256c
1597769b05
hex60bedc54

1623120980 has 72 divisors (see below), whose sum is σ = 3874340232. Its totient is φ = 567730944.

The previous prime is 1623120979. The next prime is 1623121007. The reversal of 1623120980 is 890213261.

It can be written as a sum of positive squares in 4 ways, for example, as 43217476 + 1579903504 = 6574^2 + 39748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85214 + ... + 102506.

It is an arithmetic number, because the mean of its divisors is an integer number (53810281).

Almost surely, 21623120980 is an apocalyptic number.

1623120980 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 1623120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937170116).

1623120980 is an abundant number, since it is smaller than the sum of its proper divisors (2251219252).

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

1623120980 is a wasteful number, since it uses less digits than its factorization.

1623120980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17353 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1623120980 is about 40287.9756254891. The cubic root of 1623120980 is about 1175.2140198652.

The spelling of 1623120980 in words is "one billion, six hundred twenty-three million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 17293 18772 23465 34586 46930 69172 86465 93860 172930 224809 328567 345860 449618 657134 899236 1124045 1314268 1642835 2248090 3285670 4271371 4496180 6242773 6571340 8542742 12485546 17085484 21356855 24971092 31213865 42713710 62427730 81156049 85427420 124855460 162312098 324624196 405780245 811560490 1623120980