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4430930660 = 22513172109541
BaseRepresentation
bin1000010000001101…
…01010001011100100
3102102210120121011222
410020012222023210
533033304240120
62011402115512
7214542201122
oct41006521344
912383517158
104430930660
111974165872
12a37aabb98
13557ca2780
1430068a912
151adee8525
hex1081aa2e4

4430930660 has 144 divisors (see below), whose sum is σ = 10762363920. Its totient is φ = 1522851840.

The previous prime is 4430930653. The next prime is 4430930723. The reversal of 4430930660 is 660390344.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1868141284 + 2562789376 = 43222^2 + 50624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4430930660.

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, 8189990 + ... + 8190530.

Almost surely, 24430930660 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 4430930660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381181960).

4430930660 is an abundant number, since it is smaller than the sum of its proper divisors (6331433260).

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

4430930660 is a wasteful number, since it uses less digits than its factorization.

4430930660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 4430930660 is about 66565.2361221682. The cubic root of 4430930660 is about 1642.4732981642.

The spelling of 4430930660 in words is "four billion, four hundred thirty million, nine hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 109 130 170 218 221 260 289 340 436 442 541 545 578 884 1082 1090 1105 1156 1417 1445 1853 2164 2180 2210 2705 2834 2890 3706 3757 4420 5410 5668 5780 7033 7085 7412 7514 9197 9265 10820 14066 14170 15028 18394 18530 18785 24089 28132 28340 31501 35165 36788 37060 37570 45985 48178 58969 63002 70330 75140 91970 96356 117938 119561 120445 126004 140660 156349 157505 183940 235876 239122 240890 294845 312698 315010 409513 478244 481780 589690 597805 625396 630020 766597 781745 819026 1002473 1179380 1195610 1533194 1563490 1638052 2004946 2032537 2047565 2391220 3066388 3126980 3832985 4009892 4065074 4095130 5012365 7665970 8130148 8190260 10024730 10162685 13032149 15331940 17042041 20049460 20325370 26064298 34084082 40650740 52128596 65160745 68168164 85210205 130321490 170420410 221546533 260642980 340840820 443093066 886186132 1107732665 2215465330 4430930660