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61966040 = 2352953419
BaseRepresentation
bin1110110001100…
…0011011011000
311022121012102112
43230120123120
5111330403130
610052051452
71351463003
oct354303330
9138535375
1061966040
1131a84004
1218903b88
13cab7ac6
14833053a
155690495
hex3b186d8

61966040 has 32 divisors (see below), whose sum is σ = 144234000. Its totient is φ = 23931264.

The previous prime is 61966039. The next prime is 61966043. The reversal of 61966040 is 4066916.

61966040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×619660402 = 7679580226563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61965988 and 61966006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61966043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550 + ... + 27869.

Almost surely, 261966040 is an apocalyptic number.

It is an amenable number.

61966040 is an abundant number, since it is smaller than the sum of its proper divisors (82267960).

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

61966040 is a wasteful number, since it uses less digits than its factorization.

61966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53459 (or 53455 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 61966040 is about 7871.8511164783. The cubic root of 61966040 is about 395.7168843298.

The spelling of 61966040 in words is "sixty-one million, nine hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 53419 106838 213676 267095 427352 534190 1068380 1549151 2136760 3098302 6196604 7745755 12393208 15491510 30983020 61966040