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61358076 = 223213433049
BaseRepresentation
bin1110101000001…
…1111111111100
311021110022110100
43222003333330
5111201424301
610031041100
71343351343
oct352037774
9137408410
1061358076
11316a925a
1218670190
13c934170
148212b5a
1555c0286
hex3a83ffc

61358076 has 72 divisors (see below), whose sum is σ = 170970800. Its totient is φ = 18434304.

The previous prime is 61358071. The next prime is 61358111. The reversal of 61358076 is 67085316.

61358076 is a `hidden beast` number, since 6 + 1 + 3 + 580 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61358076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61358071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18600 + ... + 21648.

Almost surely, 261358076 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 61358076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85485400).

61358076 is an abundant number, since it is smaller than the sum of its proper divisors (109612724).

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

61358076 is a wasteful number, since it uses less digits than its factorization.

61358076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61358076 is about 7833.1396004412. The cubic root of 61358076 is about 394.4184702389.

Adding to 61358076 its product of nonzero digits (30240), we get a palindrome (61388316).

The spelling of 61358076 in words is "sixty-one million, three hundred fifty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3049 3354 5031 6098 6708 9147 10062 12196 18294 20124 27441 36588 39637 54882 79274 109764 118911 131107 158548 237822 262214 356733 393321 475644 524428 713466 786642 1179963 1426932 1573284 1704391 2359926 3408782 4719852 5113173 6817564 10226346 15339519 20452692 30679038 61358076