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61361076 = 22371076827
BaseRepresentation
bin1110101000010…
…0101110110100
311021110110120110
43222010232310
5111202023301
610031103020
71343363160
oct352045664
9137413513
1061361076
1131700537
1218671a70
13c93563a
148213ca0
1555c10d6
hex3a84bb4

61361076 has 48 divisors (see below), whose sum is σ = 165182976. Its totient is φ = 17365344.

The previous prime is 61361017. The next prime is 61361077. The reversal of 61361076 is 67016316.

61361076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61361077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575 + ... + 12401.

It is an arithmetic number, because the mean of its divisors is an integer number (3441312).

Almost surely, 261361076 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 61361076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82591488).

61361076 is an abundant number, since it is smaller than the sum of its proper divisors (103821900).

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

61361076 is a wasteful number, since it uses less digits than its factorization.

61361076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61361076 is about 7833.3310921983. The cubic root of 61361076 is about 394.4248982769.

The spelling of 61361076 in words is "sixty-one million, three hundred sixty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 6827 8988 13654 20481 27308 40962 47789 81924 95578 143367 191156 286734 573468 730489 1460978 2191467 2921956 4382934 5113423 8765868 10226846 15340269 20453692 30680538 61361076