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630767676 = 2237112229271
BaseRepresentation
bin100101100110001…
…100000000111100
31121221220022120210
4211212030000330
52242434031201
6142331312420
721426302550
oct4546140074
91557808523
10630767676
112a4063100
121572ab710
13a08ac116
145dab5860
153a5991d6
hex2598c03c

630767676 has 144 divisors (see below), whose sum is σ = 1863787520. Its totient is φ = 162518400.

The previous prime is 630767651. The next prime is 630767701. The reversal of 630767676 is 676767036.

It is an interprime number because it is at equal distance from previous prime (630767651) and next prime (630767701).

It is a super-2 number, since 2×6307676762 = 795735722172881952, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 2327421 + ... + 2327691.

Almost surely, 2630767676 is an apocalyptic number.

630767676 is a gapful number since it is divisible by the number (66) 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 630767676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931893760).

630767676 is an abundant number, since it is smaller than the sum of its proper divisors (1233019844).

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

630767676 is a wasteful number, since it uses less digits than its factorization.

630767676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The square root of 630767676 is about 25115.0886122267. The cubic root of 630767676 is about 857.6099476243.

The spelling of 630767676 in words is "six hundred thirty million, seven hundred sixty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 229 231 242 271 308 363 458 462 484 542 687 726 813 847 916 924 1084 1374 1452 1603 1626 1694 1897 2519 2541 2748 2981 3206 3252 3388 3794 4809 5038 5082 5691 5962 6412 7557 7588 8943 9618 10076 10164 11382 11924 15114 17633 17886 19236 20867 22764 27709 30228 32791 35266 35772 41734 52899 55418 62059 62601 65582 70532 83127 83468 98373 105798 110836 124118 125202 131164 166254 186177 193963 196746 211596 229537 248236 250404 332508 372354 387926 393492 434413 459074 581889 682649 688611 744708 775852 868826 918148 1163778 1303239 1365298 1377222 1737652 2047947 2327556 2606478 2730596 2754444 4095894 4778543 5212956 7509139 8191788 9557086 14335629 15018278 19114172 22527417 28671258 30036556 45054834 52563973 57342516 90109668 105127946 157691919 210255892 315383838 630767676