Search a number
-
+
296779680 = 2533568699
BaseRepresentation
bin10001101100000…
…111111110100000
3202200102222012000
4101230013332200
51101433422210
645241004000
710232404611
oct2154077640
9680388160
10296779680
11142584a6a
1283483600
13496410a2
142b5b5c08
151b0c4ac0
hex11b07fa0

296779680 has 96 divisors (see below), whose sum is σ = 1038744000. Its totient is φ = 79140096.

The previous prime is 296779669. The next prime is 296779733. The reversal of 296779680 is 86977692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30030 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (10820250).

Almost surely, 2296779680 is an apocalyptic number.

296779680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296779680 is an abundant number, since it is smaller than the sum of its proper divisors (741964320).

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

296779680 is a wasteful number, since it uses less digits than its factorization.

296779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68723 (or 68709 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 296779680 is about 17227.2946221976. The cubic root of 296779680 is about 667.0290074725.

The spelling of 296779680 in words is "two hundred ninety-six million, seven hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 68699 137398 206097 274796 343495 412194 549592 618291 686990 824388 1030485 1099184 1236582 1373980 1648776 1854873 2060970 2198368 2473164 2747960 3091455 3297552 3709746 4121940 4946328 5495920 6182910 6595104 7419492 8243880 9274365 9892656 10991840 12365820 14838984 16487760 18548730 19785312 24731640 29677968 32975520 37097460 49463280 59355936 74194920 98926560 148389840 296779680