Search a number
-
+
1368372960 = 25335316753
BaseRepresentation
bin101000110001111…
…1011011011100000
310112100211112211000
41101203323123200
510300300413320
6343440552000
745623656353
oct12143733340
93470745730
101368372960
11642457949
12322322600
1318a657056
14cda3c29a
15801e8c90
hex518fb6e0

1368372960 has 96 divisors (see below), whose sum is σ = 4789320480. Its totient is φ = 364898304.

The previous prime is 1368372949. The next prime is 1368372977. The reversal of 1368372960 is 692738631.

1368372960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (45).

It is a congruent number.

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, 154057 + ... + 162696.

It is an arithmetic number, because the mean of its divisors is an integer number (49888755).

Almost surely, 21368372960 is an apocalyptic number.

1368372960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368372960 is an abundant number, since it is smaller than the sum of its proper divisors (3420947520).

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

1368372960 is a wasteful number, since it uses less digits than its factorization.

1368372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316777 (or 316763 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1368372960 is about 36991.5255159881. The cubic root of 1368372960 is about 1110.2006941714.

The spelling of 1368372960 in words is "one billion, three hundred sixty-eight million, three hundred seventy-two thousand, nine hundred sixty".

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 316753 633506 950259 1267012 1583765 1900518 2534024 2850777 3167530 3801036 4751295 5068048 5701554 6335060 7602072 8552331 9502590 10136096 11403108 12670120 14253885 15204144 17104662 19005180 22806216 25340240 28507770 30408288 34209324 38010360 42761655 45612432 50680480 57015540 68418648 76020720 85523310 91224864 114031080 136837296 152041440 171046620 228062160 273674592 342093240 456124320 684186480 1368372960