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61940376 = 2334611567
BaseRepresentation
bin1110110001001…
…0001010011000
311022112220020000
43230102022120
5111324043001
610051333000
71351325121
oct354221230
9138486200
1061940376
1131a667a3
12188b1160
13caa9214
148325048
155687a86
hex3b12298

61940376 has 80 divisors (see below), whose sum is σ = 176447040. Its totient is φ = 20295360.

The previous prime is 61940363. The next prime is 61940377. The reversal of 61940376 is 67304916.

61940376 is a `hidden beast` number, since 619 + 4 + 0 + 37 + 6 = 666.

It is a super-2 number, since 2×619403762 = 7673220358042752, which contains 22 as substring.

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 61940376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61940377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38745 + ... + 40311.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 261940376 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 61940376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88223520).

61940376 is an abundant number, since it is smaller than the sum of its proper divisors (114506664).

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

61940376 is a wasteful number, since it uses less digits than its factorization.

61940376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 61940376 is about 7870.2208355293. The cubic root of 61940376 is about 395.6622464428.

The spelling of 61940376 in words is "sixty-one million, nine hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1567 1647 2196 3134 3294 4392 4701 4941 6268 6588 9402 9882 12536 13176 14103 18804 19764 28206 37608 39528 42309 56412 84618 95587 112824 126927 169236 191174 253854 286761 338472 382348 507708 573522 764696 860283 1015416 1147044 1720566 2294088 2580849 3441132 5161698 6882264 7742547 10323396 15485094 20646792 30970188 61940376