Search a number
-
+
61782630 = 23572135361
BaseRepresentation
bin1110101110101…
…1101001100110
311022020212211120
43223223221212
5111304021010
610044114410
71350100200
oct353535146
9138225746
1061782630
1131969228
1218835a06
13ca52490
1482c3770
155655e70
hex3aeba66

61782630 has 192 divisors, whose sum is σ = 192362688. Its totient is φ = 12579840.

The previous prime is 61782629. The next prime is 61782631. The reversal of 61782630 is 3628716.

It is an interprime number because it is at equal distance from previous prime (61782629) and next prime (61782631).

It is a junction number, because it is equal to n+sod(n) for n = 61782591 and 61782600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61782631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012800 + ... + 1012860.

It is an arithmetic number, because the mean of its divisors is an integer number (1001889).

Almost surely, 261782630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61782630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

61782630 is an abundant number, since it is smaller than the sum of its proper divisors (130580058).

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

61782630 is a wasteful number, since it uses less digits than its factorization.

61782630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 61782630 is about 7860.1927457283. The cubic root of 61782630 is about 395.3260780174.

The spelling of 61782630 in words is "sixty-one million, seven hundred eighty-two thousand, six hundred thirty".