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73012368 = 24311213967
BaseRepresentation
bin1000101101000…
…01010010010000
312002101102010210
410112201102100
5122142343433
611124524120
71544411022
oct426412220
9162342123
1073012368
1138239300
1220550640
13121849b0
1499a8012
156623463
hex45a1490

73012368 has 120 divisors (see below), whose sum is σ = 223499584. Its totient is φ = 20401920.

The previous prime is 73012367. The next prime is 73012417. The reversal of 73012368 is 86321037.

It is not an unprimeable number, because it can be changed into a prime (73012363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75021 + ... + 75987.

Almost surely, 273012368 is an apocalyptic number.

73012368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73012368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111749792).

73012368 is an abundant number, since it is smaller than the sum of its proper divisors (150487216).

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

73012368 is a wasteful number, since it uses less digits than its factorization.

73012368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73012368 is about 8544.7274971177. The cubic root of 73012368 is about 417.9575210757.

It can be divided in two parts, 7301 and 2368, that added together give a palindrome (9669).

The spelling of 73012368 in words is "seventy-three million, twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 967 968 1144 1452 1573 1716 1934 1936 2288 2901 2904 3146 3432 3868 4719 5802 5808 6292 6864 7736 9438 10637 11604 12571 12584 15472 18876 21274 23208 25142 25168 31911 37713 37752 42548 46416 50284 63822 75426 75504 85096 100568 117007 127644 138281 150852 170192 201136 234014 255288 276562 301704 351021 414843 468028 510576 553124 603408 702042 829686 936056 1106248 1404084 1521091 1659372 1872112 2212496 2808168 3042182 3318744 4563273 5616336 6084364 6637488 9126546 12168728 18253092 24337456 36506184 73012368