Search a number
-
+
661142970 = 232510172733
BaseRepresentation
bin100111011010000…
…011110110111010
31201002001112122200
4213122003312322
52323223033340
6145334331030
722245423345
oct4732036672
91632045580
10661142970
1130a21a554
121654b9a76
13a6c85b77
1463b4145c
153d099330
hex27683dba

661142970 has 48 divisors (see below), whose sum is σ = 1736015112. Its totient is φ = 174556800.

The previous prime is 661142959. The next prime is 661142987. The reversal of 661142970 is 79241166.

It can be written as a sum of positive squares in 4 ways, for example, as 656845641 + 4297329 = 25629^2 + 2073^2 .

It is a super-2 number, since 2×6611429702 = 874220053560841800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27277 + ... + 45456.

Almost surely, 2661142970 is an apocalyptic number.

661142970 is an abundant number, since it is smaller than the sum of its proper divisors (1074872142).

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

661142970 is a wasteful number, since it uses less digits than its factorization.

661142970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72847 (or 72844 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 661142970 is about 25712.7005582844. The cubic root of 661142970 is about 871.1610736401.

The spelling of 661142970 in words is "six hundred sixty-one million, one hundred forty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 72733 145466 218199 363665 436398 654597 727330 1090995 1309194 2181990 3272985 6545970 7346033 14692066 22038099 36730165 44076198 66114297 73460330 110190495 132228594 220380990 330571485 661142970