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61140072 = 23372315823
BaseRepresentation
bin1110100100111…
…0110001101000
311021001020102010
43221032301220
5111122440242
610022235520
71341452640
oct351166150
9137036363
1061140072
113156a494
1218585ba0
13c888b76
148197520
15557a89c
hex3a4ec68

61140072 has 64 divisors (see below), whose sum is σ = 182292480. Its totient is φ = 16708032.

The previous prime is 61140071. The next prime is 61140097. The reversal of 61140072 is 27004116.

61140072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (61140071) 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 15 ways as a sum of consecutive naturals, for example, 4048 + ... + 11775.

It is an arithmetic number, because the mean of its divisors is an integer number (2848320).

Almost surely, 261140072 is an apocalyptic number.

It is an amenable number.

61140072 is an abundant number, since it is smaller than the sum of its proper divisors (121152408).

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

61140072 is a wasteful number, since it uses less digits than its factorization.

61140072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15862 (or 15858 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 61140072 is about 7819.2117249759. The cubic root of 61140072 is about 393.9507956454.

Adding to 61140072 its reverse (27004116), we get a palindrome (88144188).

The spelling of 61140072 in words is "sixty-one million, one hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 15823 31646 47469 63292 94938 110761 126584 189876 221522 332283 363929 379752 443044 664566 727858 886088 1091787 1329132 1455716 2183574 2547503 2658264 2911432 4367148 5095006 7642509 8734296 10190012 15285018 20380024 30570036 61140072