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61516040 = 2355329017
BaseRepresentation
bin1110101010101…
…0100100001000
311021202100010212
43222222210020
5111222003130
610034300252
71344610025
oct352524410
9137670125
1061516040
11317a6a03
1218727688
13c98b031
14825454c
155601e95
hex3aaa908

61516040 has 32 divisors (see below), whose sum is σ = 141027480. Its totient is φ = 24141312.

The previous prime is 61515967. The next prime is 61516051. The reversal of 61516040 is 4061516.

It can be written as a sum of positive squares in 4 ways, for example, as 46321636 + 15194404 = 6806^2 + 3898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61515997 and 61516015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12389 + ... + 16628.

Almost surely, 261516040 is an apocalyptic number.

It is an amenable number.

61516040 is an abundant number, since it is smaller than the sum of its proper divisors (79511440).

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

61516040 is a wasteful number, since it uses less digits than its factorization.

61516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29081 (or 29077 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 61516040 is about 7843.2161770539. The cubic root of 61516040 is about 394.7566519056.

Adding to 61516040 its reverse (4061516), we get a palindrome (65577556).

The spelling of 61516040 in words is "sixty-one million, five hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 29017 58034 116068 145085 232136 290170 580340 1160680 1537901 3075802 6151604 7689505 12303208 15379010 30758020 61516040