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61612040 = 2357293751
BaseRepresentation
bin1110101100001…
…0000000001000
311021221012211102
43223002000020
5111233041130
610040320532
71345456640
oct353020010
9137835742
1061612040
1131862046
1218773148
13c9c2939
14827b520
155620645
hex3ac2008

61612040 has 64 divisors (see below), whose sum is σ = 159183360. Its totient is φ = 21024000.

The previous prime is 61612039. The next prime is 61612081. The reversal of 61612040 is 4021616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81665 + ... + 82415.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 261612040 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 61612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79591680).

61612040 is an abundant number, since it is smaller than the sum of its proper divisors (97571320).

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

61612040 is a wasteful number, since it uses less digits than its factorization.

61612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 61612040 is about 7849.3337296869. Note that the first 3 decimals coincide. The cubic root of 61612040 is about 394.9618934558.

Adding to 61612040 its reverse (4021616), we get a palindrome (65633656).

The spelling of 61612040 in words is "sixty-one million, six hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 751 1172 1465 1502 2051 2344 2930 3004 3755 4102 5257 5860 6008 7510 8204 10255 10514 11720 15020 16408 20510 21028 26285 30040 41020 42056 52570 82040 105140 210280 220043 440086 880172 1100215 1540301 1760344 2200430 3080602 4400860 6161204 7701505 8801720 12322408 15403010 30806020 61612040