Search a number
-
+
639078960 = 2435131712049
BaseRepresentation
bin100110000101111…
…001001000110000
31122112112120112010
4212011321020300
52302101011320
6143225402520
721560036652
oct4605711060
91575476463
10639078960
112a881a533
1215a039440
13a252c140
1460c3a6d2
153b18bae0
hex26179230

639078960 has 160 divisors (see below), whose sum is σ = 2259230400. Its totient is φ = 148045824.

The previous prime is 639078949. The next prime is 639078991. The reversal of 639078960 is 69870936.

It is a happy number.

It is a super-2 number, since 2×6390789602 = 816843834229363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47016 + ... + 59064.

It is an arithmetic number, because the mean of its divisors is an integer number (14120190).

Almost surely, 2639078960 is an apocalyptic number.

639078960 is a gapful number since it is divisible by the number (60) 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 639078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129615200).

639078960 is an abundant number, since it is smaller than the sum of its proper divisors (1620151440).

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

639078960 is a wasteful number, since it uses less digits than its factorization.

639078960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 639078960 is about 25280.0110759469. The cubic root of 639078960 is about 861.3602774328.

The spelling of 639078960 in words is "six hundred thirty-nine million, seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 12049 13260 17680 24098 26520 36147 48196 53040 60245 72294 96392 120490 144588 156637 180735 192784 204833 240980 289176 313274 361470 409666 469911 481960 578352 614499 626548 722940 783185 819332 939822 963920 1024165 1228998 1253096 1445880 1566370 1638664 1879644 2048330 2349555 2457996 2506192 2662829 2891760 3072495 3132740 3277328 3759288 4096660 4699110 4915992 5325658 6144990 6265480 7518576 7988487 8193320 9398220 9831984 10651316 12289980 12530960 13314145 15976974 16386640 18796440 21302632 24579960 26628290 31953948 37592880 39942435 42605264 49159920 53256580 63907896 79884870 106513160 127815792 159769740 213026320 319539480 639078960