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61986132 = 223213196971
BaseRepresentation
bin1110110001110…
…1010101010100
311022122012222200
43230131111110
5111332024012
610052324500
71351605405
oct354352524
9138565880
1061986132
1131a9810a
1218913730
13cac3cb0
1483379ac
1556963dc
hex3b1d554

61986132 has 72 divisors (see below), whose sum is σ = 177646560. Its totient is φ = 18066240.

The previous prime is 61986107. The next prime is 61986139. The reversal of 61986132 is 23168916.

61986132 is a `hidden beast` number, since 619 + 8 + 6 + 1 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61986139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5407 + ... + 12377.

Almost surely, 261986132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61986132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88823280).

61986132 is an abundant number, since it is smaller than the sum of its proper divisors (115660428).

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

61986132 is a wasteful number, since it uses less digits than its factorization.

61986132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7008 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61986132 is about 7873.1272058820. The cubic root of 61986132 is about 395.7596490682.

The spelling of 61986132 in words is "sixty-one million, nine hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 6971 8892 13942 20913 27884 41826 62739 83652 90623 125478 132449 181246 250956 264898 271869 362492 397347 529796 543738 794694 815607 1087476 1192041 1589388 1631214 1721837 2384082 3262428 3443674 4768164 5165511 6887348 10331022 15496533 20662044 30993066 61986132