Search a number
-
+
61355124 = 22332392377
BaseRepresentation
bin1110101000001…
…1010001110100
311021110011102000
43222003101310
5111201330444
610031015300
71343336625
oct352032164
9137404360
1061355124
11316a7016
121866a530
13c932a0c
148211a4c
1555be469
hex3a83474

61355124 has 48 divisors (see below), whose sum is σ = 159801600. Its totient is φ = 20357568.

The previous prime is 61355117. The next prime is 61355131. The reversal of 61355124 is 42155316.

It is an interprime number because it is at equal distance from previous prime (61355117) and next prime (61355131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 24624 + ... + 27000.

It is an arithmetic number, because the mean of its divisors is an integer number (3329200).

Almost surely, 261355124 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 61355124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79900800).

61355124 is an abundant number, since it is smaller than the sum of its proper divisors (98446476).

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

61355124 is a wasteful number, since it uses less digits than its factorization.

61355124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 61355124 is about 7832.9511679826. The cubic root of 61355124 is about 394.4121448450.

The spelling of 61355124 in words is "sixty-one million, three hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2377 2868 4302 4754 6453 7131 8604 9508 12906 14262 21393 25812 28524 42786 64179 85572 128358 256716 568103 1136206 1704309 2272412 3408618 5112927 6817236 10225854 15338781 20451708 30677562 61355124