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620268096 = 26372391931
BaseRepresentation
bin100100111110001…
…000101001000000
31121020010212212110
4210332020221000
52232242034341
6141314255320
721241122540
oct4476105100
91536125773
10620268096
11299141668
12153887540
139b674056
145c541320
15396c3216
hex24f88a40

620268096 has 112 divisors (see below), whose sum is σ = 1884395520. Its totient is φ = 176386560.

The previous prime is 620268073. The next prime is 620268113. The reversal of 620268096 is 690862026.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320251 + ... + 322181.

It is an arithmetic number, because the mean of its divisors is an integer number (16824960).

Almost surely, 2620268096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942197760).

620268096 is an abundant number, since it is smaller than the sum of its proper divisors (1264127424).

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

620268096 is a wasteful number, since it uses less digits than its factorization.

620268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 620268096 is about 24905.1821113599. The cubic root of 620268096 is about 852.8247870515.

The spelling of 620268096 in words is "six hundred twenty million, two hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 239 336 448 478 672 717 956 1344 1434 1673 1912 1931 2868 3346 3824 3862 5019 5736 5793 6692 7648 7724 10038 11472 11586 13384 13517 15296 15448 20076 22944 23172 26768 27034 30896 40152 40551 45888 46344 53536 54068 61792 80304 81102 92688 107072 108136 123584 160608 162204 185376 216272 321216 324408 370752 432544 461509 648816 865088 923018 1297632 1384527 1846036 2595264 2769054 3230563 3692072 5538108 6461126 7384144 9691689 11076216 12922252 14768288 19383378 22152432 25844504 29536576 38766756 44304864 51689008 77533512 88609728 103378016 155067024 206756032 310134048 620268096