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675798960 = 243517732269
BaseRepresentation
bin101000010001111…
…101111110110000
31202002122010220010
4220101331332300
52341001031320
6151020414520
722514124234
oct5021757660
91662563803
10675798960
1131751a841
1216a3a7440
13aa017a55
1465a785c4
153e4e1ae0
hex2847dfb0

675798960 has 160 divisors (see below), whose sum is σ = 2249588160. Its totient is φ = 167215104.

The previous prime is 675798953. The next prime is 675798961. The reversal of 675798960 is 69897576.

It is a self number, because there is not a number n which added to its sum of digits gives 675798960.

It is not an unprimeable number, because it can be changed into a prime (675798961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296706 + ... + 298974.

It is an arithmetic number, because the mean of its divisors is an integer number (14059926).

Almost surely, 2675798960 is an apocalyptic number.

675798960 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 675798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124794080).

675798960 is an abundant number, since it is smaller than the sum of its proper divisors (1573789200).

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

675798960 is a wasteful number, since it uses less digits than its factorization.

675798960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 675798960 is about 25996.1335586660. The cubic root of 675798960 is about 877.5512847357.

The spelling of 675798960 in words is "six hundred seventy-five million, seven hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 146 170 204 219 240 255 272 292 340 365 408 438 510 584 680 730 816 876 1020 1095 1168 1241 1360 1460 1752 2040 2190 2269 2482 2920 3504 3723 4080 4380 4538 4964 5840 6205 6807 7446 8760 9076 9928 11345 12410 13614 14892 17520 18152 18615 19856 22690 24820 27228 29784 34035 36304 37230 38573 45380 49640 54456 59568 68070 74460 77146 90760 99280 108912 115719 136140 148920 154292 165637 181520 192865 231438 272280 297840 308584 331274 385730 462876 496911 544560 578595 617168 662548 771460 828185 925752 993822 1157190 1325096 1542920 1656370 1851504 1987644 2314380 2484555 2650192 2815829 3085840 3312740 3975288 4628760 4969110 5631658 6625480 7950576 8447487 9257520 9938220 11263316 13250960 14079145 16894974 19876440 22526632 28158290 33789948 39752880 42237435 45053264 56316580 67579896 84474870 112633160 135159792 168949740 225266320 337899480 675798960