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61430112 = 25321712547
BaseRepresentation
bin1110101001010…
…1100101100000
311021120222021100
43222111211200
5111211230422
610032354400
71344101352
oct352254540
9137528240
1061430112
1131748397
12186a5a00
13c95aba3
1482310d2
1555d67ac
hex3a95960

61430112 has 72 divisors (see below), whose sum is σ = 184982616. Its totient is φ = 19270656.

The previous prime is 61430107. The next prime is 61430113. The reversal of 61430112 is 21103416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61430113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378 + ... + 11169.

It is an arithmetic number, because the mean of its divisors is an integer number (2569203).

Almost surely, 261430112 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 61430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92491308).

61430112 is an abundant number, since it is smaller than the sum of its proper divisors (123552504).

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

61430112 is a wasteful number, since it uses less digits than its factorization.

61430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61430112 is about 7837.7364079178. The cubic root of 61430112 is about 394.5727624369.

Adding to 61430112 its reverse (21103416), we get a palindrome (82533528).

The spelling of 61430112 in words is "sixty-one million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 12547 25094 37641 50188 75282 100376 112923 150564 200752 213299 225846 301128 401504 426598 451692 602256 639897 853196 903384 1204512 1279794 1706392 1806768 1919691 2559588 3412784 3613536 3839382 5119176 6825568 7678764 10238352 15357528 20476704 30715056 61430112