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68015360 = 28577591
BaseRepresentation
bin1000000110111…
…01010100000000
311201222112112102
410003131110000
5114402442420
610425445532
71454056340
oct403352400
9151875472
1068015360
1135435a46
121a9408a8
131112539a
149066d20
155e87a75
hex40dd500

68015360 has 72 divisors (see below), whose sum is σ = 186216576. Its totient is φ = 23316480.

The previous prime is 68015359. The next prime is 68015369. The reversal of 68015360 is 6351086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68015369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5165 + ... + 12755.

Almost surely, 268015360 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 68015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93108288).

68015360 is an abundant number, since it is smaller than the sum of its proper divisors (118201216).

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

68015360 is an equidigital number, since it uses as much as digits as its factorization.

68015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 68015360 is about 8247.1425354483. The cubic root of 68015360 is about 408.1962403400.

The spelling of 68015360 in words is "sixty-eight million, fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 7591 8960 15182 30364 37955 53137 60728 75910 106274 121456 151820 212548 242912 265685 303640 425096 485824 531370 607280 850192 971648 1062740 1214560 1700384 1943296 2125480 2429120 3400768 4250960 4858240 6801536 8501920 9716480 13603072 17003840 34007680 68015360