Search a number
-
+
1068515460 = 223255936197
BaseRepresentation
bin111111101100000…
…100000010000100
32202110121012122200
4333230010002010
54142014443320
6254005554500
735323142265
oct7754040204
92673535580
101068515460
114a9170531
12259a15a30
131404a908c
14a1ca496c
1563c17290
hex3fb04084

1068515460 has 36 divisors (see below), whose sum is σ = 3241164108. Its totient is φ = 284937408.

The previous prime is 1068515449. The next prime is 1068515477. The reversal of 1068515460 is 645158601.

1068515460 is a `hidden beast` number, since 1 + 0 + 68 + 51 + 546 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 693163584 + 375351876 = 26328^2 + 19374^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10685154602 = 2283450576518023200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2967919 + ... + 2968278.

Almost surely, 21068515460 is an apocalyptic number.

1068515460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068515460 is an abundant number, since it is smaller than the sum of its proper divisors (2172648648).

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

1068515460 is a wasteful number, since it uses less digits than its factorization.

1068515460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936212 (or 5936207 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1068515460 is about 32688.1547353166. The cubic root of 1068515460 is about 1022.3358807056.

The spelling of 1068515460 in words is "one billion, sixty-eight million, five hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5936197 11872394 17808591 23744788 29680985 35617182 53425773 59361970 71234364 89042955 106851546 118723940 178085910 213703092 267128865 356171820 534257730 1068515460