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2155768160 = 255713148061
BaseRepresentation
bin1000000001111110…
…0110100101100000
312120020110100222012
42000133212211200
513403334040120
6553525332052
7104264504240
oct20037464540
95506410865
102155768160
11a06969587
12501b67028
13284815880
14166445b20
15c93d11c5
hex807e6960

2155768160 has 96 divisors (see below), whose sum is σ = 6268352832. Its totient is φ = 682260480.

The previous prime is 2155768159. The next prime is 2155768187. The reversal of 2155768160 is 618675512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59471 + ... + 88590.

It is an arithmetic number, because the mean of its divisors is an integer number (65295342).

Almost surely, 22155768160 is an apocalyptic number.

2155768160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2155768160 is an abundant number, since it is smaller than the sum of its proper divisors (4112584672).

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

2155768160 is a wasteful number, since it uses less digits than its factorization.

2155768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148096 (or 148088 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 2155768160 is about 46430.2504839248. The cubic root of 2155768160 is about 1291.8160748064.

The spelling of 2155768160 in words is "two billion, one hundred fifty-five million, seven hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 148061 296122 592244 740305 1036427 1184488 1480610 1924793 2072854 2368976 2961220 3849586 4145708 4737952 5182135 5922440 7699172 8291416 9623965 10364270 11844880 13473551 15398344 16582832 19247930 20728540 23689760 26947102 30796688 33165664 38495860 41457080 53894204 61593376 67367755 76991720 82914160 107788408 134735510 153983440 165828320 215576816 269471020 307966880 431153632 538942040 1077884080 2155768160