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680447628 = 22357971031
BaseRepresentation
bin101000100011101…
…100111010001100
31202102101022200000
4220203230322030
52343143311003
6151304204300
722601465220
oct5043547214
91672338600
10680447628
1131a105413
1216ba69690
13aac84943
1466528780
153eb0e1a3
hex288ece8c

680447628 has 144 divisors (see below), whose sum is σ = 2061556224. Its totient is φ = 192222720.

The previous prime is 680447611. The next prime is 680447639. The reversal of 680447628 is 826744086.

It is a super-3 number, since 3×6804476283 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659473 + ... + 660503.

Almost surely, 2680447628 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 680447628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030778112).

680447628 is an abundant number, since it is smaller than the sum of its proper divisors (1381108596).

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

680447628 is a wasteful number, since it uses less digits than its factorization.

680447628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 680447628 is about 26085.3910838998. The cubic root of 680447628 is about 879.5588474090.

The spelling of 680447628 in words is "six hundred eighty million, four hundred forty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 97 108 126 162 189 194 243 252 291 324 378 388 486 567 582 679 756 873 972 1031 1134 1164 1358 1701 1746 2037 2062 2268 2619 2716 3093 3402 3492 4074 4124 5238 6111 6186 6804 7217 7857 8148 9279 10476 12222 12372 14434 15714 18333 18558 21651 23571 24444 27837 28868 31428 36666 37116 43302 47142 54999 55674 64953 73332 83511 86604 94284 100007 109998 111348 129906 164997 167022 194859 200014 219996 250533 259812 300021 329994 334044 389718 400028 501066 584577 600042 659988 700049 779436 900063 1002132 1169154 1200084 1400098 1753731 1800126 2100147 2338308 2700189 2800196 3507462 3600252 4200294 5400378 6300441 7014924 8100567 8400588 10800756 12600882 16201134 18901323 24301701 25201764 32402268 37802646 48603402 56703969 75605292 97206804 113407938 170111907 226815876 340223814 680447628