Search a number
-
+
1968185088 = 2833284749
BaseRepresentation
bin111010101010000…
…0001111100000000
312002011111011101000
41311110001330000
513012323410323
6523145012000
766526203642
oct16524017400
95064434330
101968185088
1191aa97651
1246b184000
132549b827c
14149576892
15b7bcae43
hex75501f00

1968185088 has 72 divisors (see below), whose sum is σ = 5820290000. Its totient is φ = 656059392.

The previous prime is 1968185083. The next prime is 1968185101. The reversal of 1968185088 is 8805818691.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968185083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135463 + ... + 149286.

Almost surely, 21968185088 is an apocalyptic number.

1968185088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1968185088 is an abundant number, since it is smaller than the sum of its proper divisors (3852104912).

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

1968185088 is an equidigital number, since it uses as much as digits as its factorization.

1968185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284774 (or 284754 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 1968185088 is about 44364.2320794579. The cubic root of 1968185088 is about 1253.2045962032.

The spelling of 1968185088 in words is "one billion, nine hundred sixty-eight million, one hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 284749 569498 854247 1138996 1708494 2277992 2562741 3416988 4555984 5125482 6833976 7688223 9111968 10250964 13667952 15376446 18223936 20501928 27335904 30752892 36447872 41003856 54671808 61505784 72895744 82007712 109343616 123011568 164015424 218687232 246023136 328030848 492046272 656061696 984092544 1968185088