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68037376 = 281137653
BaseRepresentation
bin1000000111000…
…10101100000000
311202000122201211
410003202230000
5114404144001
610430135504
71454210461
oct403425400
9152018654
1068037376
1135450540
121a951594
1311132404
149070d68
155e8e351
hex40e2b00

68037376 has 72 divisors (see below), whose sum is σ = 152392464. Its totient is φ = 30044160.

The previous prime is 68037373. The next prime is 68037397. The reversal of 68037376 is 67373086.

It is not an unprimeable number, because it can be changed into a prime (68037373) 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, 103866 + ... + 104518.

It is an arithmetic number, because the mean of its divisors is an integer number (2116562).

Almost surely, 268037376 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 68037376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76196232).

68037376 is an abundant number, since it is smaller than the sum of its proper divisors (84355088).

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

68037376 is a wasteful number, since it uses less digits than its factorization.

68037376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 68037376 is about 8248.4771927914. The cubic root of 68037376 is about 408.2402788187.

The spelling of 68037376 in words is "sixty-eight million, thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 653 704 814 1184 1306 1408 1628 2368 2612 2816 3256 4736 5224 6512 7183 9472 10448 13024 14366 20896 24161 26048 28732 41792 48322 52096 57464 83584 96644 104192 114928 167168 193288 229856 265771 386576 459712 531542 773152 919424 1063084 1546304 1838848 2126168 3092608 4252336 6185216 8504672 17009344 34018688 68037376