Search a number
-
+
61555140 = 2234537997
BaseRepresentation
bin1110101011010…
…0000111000100
311021211022210000
43222310013010
5111224231030
610035201300
71345132023
oct352640704
9137738700
1061555140
1131823319
1218746230
13c9a2a7a
1482648ba
15560d860
hex3ab41c4

61555140 has 60 divisors (see below), whose sum is σ = 193105836. Its totient is φ = 16414272.

The previous prime is 61555127. The next prime is 61555163. The reversal of 61555140 is 4155516.

It is a happy number.

61555140 is a `hidden beast` number, since 615 + 5 + 5 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44116164 + 17438976 = 6642^2 + 4176^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17379 + ... + 20618.

Almost surely, 261555140 is an apocalyptic number.

61555140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61555140 is an abundant number, since it is smaller than the sum of its proper divisors (131550696).

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

61555140 is a wasteful number, since it uses less digits than its factorization.

61555140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38018 (or 38007 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 61555140 is about 7845.7083810195. The cubic root of 61555140 is about 394.8402708341.

It can be divided in two parts, 615 and 55140, that added together give a palindrome (55755).

The spelling of 61555140 in words is "sixty-one million, five hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 37997 75994 113991 151988 189985 227982 341973 379970 455964 569955 683946 759940 1025919 1139910 1367892 1709865 2051838 2279820 3077757 3419730 4103676 5129595 6155514 6839460 10259190 12311028 15388785 20518380 30777570 61555140