Search a number
-
+
61920612 = 22341361241
BaseRepresentation
bin1110110000110…
…1010101100100
311022111220010000
43230031111210
5111322424422
610051101300
71351213365
oct354152544
9138456100
1061920612
1131a52966
12188a1830
13caa0220
14831bb6c
155681cac
hex3b0d564

61920612 has 120 divisors (see below), whose sum is σ = 177917432. Its totient is φ = 18662400.

The previous prime is 61920581. The next prime is 61920659. The reversal of 61920612 is 21602916.

61920612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 61873956 = 216^2 + 7866^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 256812 + ... + 257052.

Almost surely, 261920612 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 61920612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88958716).

61920612 is an abundant number, since it is smaller than the sum of its proper divisors (115996820).

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

61920612 is a wasteful number, since it uses less digits than its factorization.

61920612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61920612 is about 7868.9651162017. The cubic root of 61920612 is about 395.6201591915.

The spelling of 61920612 in words is "sixty-one million, nine hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 241 244 324 351 366 468 482 549 702 723 732 793 964 1053 1098 1404 1446 1586 1647 2106 2169 2196 2379 2892 3133 3172 3294 4212 4338 4758 4941 6266 6507 6588 7137 8676 9399 9516 9882 12532 13014 14274 14701 18798 19521 19764 21411 26028 28197 28548 29402 37596 39042 42822 44103 56394 58804 64233 78084 84591 85644 88206 112788 128466 132309 169182 176412 191113 253773 256932 264618 338364 382226 396927 507546 529236 573339 764452 793854 1015092 1146678 1190781 1587708 1720017 2293356 2381562 3440034 4763124 5160051 6880068 10320102 15480153 20640204 30960306 61920612