Search a number
-
+
68811840 = 2632523893
BaseRepresentation
bin1000001100111…
…11110001000000
311210111000002200
410012133301000
5120103434330
610454513200
71463614416
oct406376100
9153430080
1068811840
113592a399
121b065800
1311343a86
1491d32b6
156093a60
hex419fc40

68811840 has 84 divisors (see below), whose sum is σ = 236693964. Its totient is φ = 18349056.

The previous prime is 68811833. The next prime is 68811859. The reversal of 68811840 is 4811886.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 22353984 = 6816^2 + 4728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68811795 and 68811804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9067 + ... + 14826.

Almost surely, 268811840 is an apocalyptic number.

68811840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68811840 is an abundant number, since it is smaller than the sum of its proper divisors (167882124).

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

68811840 is a wasteful number, since it uses less digits than its factorization.

68811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23916 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68811840 is about 8295.2902300040. The cubic root of 68811840 is about 409.7834271634.

The spelling of 68811840 in words is "sixty-eight million, eight hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 23893 47786 71679 95572 119465 143358 191144 215037 238930 286716 358395 382288 430074 477860 573432 716790 764576 860148 955720 1075185 1146864 1433580 1529152 1720296 1911440 2150370 2293728 2867160 3440592 3822880 4300740 4587456 5734320 6881184 7645760 8601480 11468640 13762368 17202960 22937280 34405920 68811840