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68061924 = 22337197457
BaseRepresentation
bin1000000111010…
…00101011100100
311202001220102000
410003220223210
5114410440144
610430445300
71454342160
oct403505344
9152056360
1068061924
1135467a27
121a963830
1311140638
149079ca0
155e96769
hex40e8ae4

68061924 has 96 divisors (see below), whose sum is σ = 203132160. Its totient is φ = 19305216.

The previous prime is 68061919. The next prime is 68061977. The reversal of 68061924 is 42916086.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148704 + ... + 149160.

It is an arithmetic number, because the mean of its divisors is an integer number (2115960).

Almost surely, 268061924 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 68061924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101566080).

68061924 is an abundant number, since it is smaller than the sum of its proper divisors (135070236).

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

68061924 is a wasteful number, since it uses less digits than its factorization.

68061924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68061924 is about 8249.9650908352. The cubic root of 68061924 is about 408.2893708420.

The spelling of 68061924 in words is "sixty-eight million, sixty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 197 252 378 394 457 591 756 788 914 1182 1371 1379 1773 1828 2364 2742 2758 3199 3546 4113 4137 5319 5484 5516 6398 7092 8226 8274 9597 10638 12339 12411 12796 16452 16548 19194 21276 24678 24822 28791 37233 38388 49356 49644 57582 74466 86373 90029 115164 148932 172746 180058 270087 345492 360116 540174 630203 810261 1080348 1260406 1620522 1890609 2430783 2520812 3241044 3781218 4861566 5671827 7562436 9723132 11343654 17015481 22687308 34030962 68061924