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61660116 = 2234731877
BaseRepresentation
bin1110101100110…
…1101111010100
311022000122210000
43223031233110
5111241110431
610041331300
71346050050
oct353155724
9138018700
1061660116
1131895181
1218796b30
13ca0b79b
148290c60
15562e9e6
hex3acdbd4

61660116 has 120 divisors (see below), whose sum is σ = 190378496. Its totient is φ = 17029440.

The previous prime is 61660103. The next prime is 61660127. The reversal of 61660116 is 61106616.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61660116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69870 + ... + 70746.

Almost surely, 261660116 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 61660116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95189248).

61660116 is an abundant number, since it is smaller than the sum of its proper divisors (128718380).

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

61660116 is a wasteful number, since it uses less digits than its factorization.

61660116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61660116 is about 7852.3955580447. The cubic root of 61660116 is about 395.0645966032.

It can be divided in two parts, 61660 and 116, that added together give a triangular number (61776 = T351).

The spelling of 61660116 in words is "sixty-one million, six hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 877 1116 1134 1302 1674 1754 1953 2268 2511 2604 2631 3348 3508 3906 5022 5262 5859 6139 7812 7893 10044 10524 11718 12278 15786 17577 18417 23436 23679 24556 27187 31572 35154 36834 47358 54374 55251 70308 71037 73668 81561 94716 108748 110502 142074 163122 165753 190309 221004 244683 284148 326244 331506 380618 489366 497259 570927 663012 734049 761236 978732 994518 1141854 1468098 1712781 1989036 2202147 2283708 2936196 3425562 4404294 5138343 6851124 8808588 10276686 15415029 20553372 30830058 61660116