Search a number
-
+
797969920 = 2951143659
BaseRepresentation
bin101111100100000…
…000111000000000
32001121112001221111
4233210000320000
53113240014140
6211103133104
725526426626
oct5744007000
92047461844
10797969920
1137a484680
121a32a4194
13c9421b67
1477d9b516
154a0c57ea
hex2f900e00

797969920 has 160 divisors (see below), whose sum is σ = 2138970240. Its totient is φ = 282992640.

The previous prime is 797969917. The next prime is 797969929. The reversal of 797969920 is 29969797.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797969929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210551 + ... + 1211209.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2797969920 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 797969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069485120).

797969920 is an abundant number, since it is smaller than the sum of its proper divisors (1341000320).

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

797969920 is a wasteful number, since it uses less digits than its factorization.

797969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 58.

The square root of 797969920 is about 28248.3613684051. The cubic root of 797969920 is about 927.5318685272.

The spelling of 797969920 in words is "seven hundred ninety-seven million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 512 640 659 688 704 860 880 946 1280 1318 1376 1408 1720 1760 1892 2365 2560 2636 2752 2816 3295 3440 3520 3784 4730 5272 5504 5632 6590 6880 7040 7249 7568 9460 10544 11008 13180 13760 14080 14498 15136 18920 21088 22016 26360 27520 28160 28337 28996 30272 36245 37840 42176 52720 55040 56674 57992 60544 72490 75680 84352 105440 110080 113348 115984 121088 141685 144980 151360 168704 210880 226696 231968 242176 283370 289960 302720 311707 337408 421760 453392 463936 566740 579920 605440 623414 843520 906784 927872 1133480 1159840 1210880 1246828 1558535 1687040 1813568 1855744 2266960 2319680 2493656 3117070 3627136 3711488 4533920 4639360 4987312 6234140 7254272 9067840 9278720 9974624 12468280 14508544 18135680 18557440 19949248 24936560 36271360 39898496 49873120 72542720 79796992 99746240 159593984 199492480 398984960 797969920