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61114140 = 22325734651
BaseRepresentation
bin1110100100100…
…0011100011100
311020222220211200
43221020130130
5111121123030
610021515500
71341314223
oct351103434
9136886750
1061114140
1131551a5a
1218572b90
13c87a119
14818bcba
155572d60
hex3a4871c

61114140 has 72 divisors (see below), whose sum is σ = 187959408. Its totient is φ = 16070400.

The previous prime is 61114139. The next prime is 61114169. The reversal of 61114140 is 4141116.

61114140 is a `hidden beast` number, since 611 + 14 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10815 + ... + 15465.

Almost surely, 261114140 is an apocalyptic number.

61114140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93979704).

61114140 is an abundant number, since it is smaller than the sum of its proper divisors (126845268).

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

61114140 is a wasteful number, since it uses less digits than its factorization.

61114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61114140 is about 7817.5533256896. The cubic root of 61114140 is about 393.8950908985.

Adding to 61114140 its reverse (4141116), we get a palindrome (65255256).

The spelling of 61114140 in words is "sixty-one million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 4651 6570 9302 13140 13953 18604 23255 27906 41859 46510 55812 69765 83718 93020 139530 167436 209295 279060 339523 418590 679046 837180 1018569 1358092 1697615 2037138 3055707 3395230 4074276 5092845 6111414 6790460 10185690 12222828 15278535 20371380 30557070 61114140