Search a number
-
+
68574961 = 74134
BaseRepresentation
bin1000001011001…
…01111011110001
311210000222011101
410011211323301
5120023344321
610445444401
71461610000
oct405457361
9153028141
1068574961
1135788424
121ab70701
1311290000
149170c37
156048791
hex4165ef1

68574961 has 25 divisors (see below), whose sum is σ = 86665741. Its totient is φ = 54257112.

The previous prime is 68574943. The next prime is 68574967. The reversal of 68574961 is 16947586.

The square root of 68574961 is 8281.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 34000561 + 34574400 = 5831^2 + 5880^2 .

It is not a de Polignac number, because 68574961 - 213 = 68566769 is a prime.

It is a Duffinian number.

Its product of digits (362880) is a multiple of the sum of its prime divisors (20).

It is not an unprimeable number, because it can be changed into a prime (68574967) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 5274991 + ... + 5275003.

Almost surely, 268574961 is an apocalyptic number.

68574961 is the 8281-st square number.

68574961 is the 4141-st centered octagonal number.

It is an amenable number.

68574961 is a deficient number, since it is larger than the sum of its proper divisors (18090780).

68574961 is an frugal number, since it uses more digits than its factorization.

68574961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 20 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The cubic root of 68574961 is about 409.3126715201.

The spelling of 68574961 in words is "sixty-eight million, five hundred seventy-four thousand, nine hundred sixty-one".

Divisors: 1 7 13 49 91 169 343 637 1183 2197 2401 4459 8281 15379 28561 31213 57967 107653 199927 405769 753571 1399489 5274997 9796423 68574961