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68040032 = 2529157467
BaseRepresentation
bin1000000111000…
…11010101100000
311202000210101012
410003203111200
5114404240112
610430200052
71454221304
oct403432540
9152023335
1068040032
1135452535
121a953028
1311133698
149071d04
155e90022
hex40e3560

68040032 has 48 divisors (see below), whose sum is σ = 139754160. Its totient is φ = 32567808.

The previous prime is 68040031. The next prime is 68040043. The reversal of 68040032 is 23004086.

It is a happy number.

It is a super-2 number, since 2×680400322 = 9258891909122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68040031) 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, 145463 + ... + 145929.

It is an arithmetic number, because the mean of its divisors is an integer number (2911545).

Almost surely, 268040032 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 68040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69877080).

68040032 is an abundant number, since it is smaller than the sum of its proper divisors (71714128).

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

68040032 is a wasteful number, since it uses less digits than its factorization.

68040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 68040032 is about 8248.6381906349. The cubic root of 68040032 is about 408.2455909581.

The spelling of 68040032 in words is "sixty-eight million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 157 232 314 464 467 628 928 934 1256 1868 2512 3736 4553 5024 7472 9106 13543 14944 18212 27086 36424 54172 72848 73319 108344 145696 146638 216688 293276 433376 586552 1173104 2126251 2346208 4252502 8505004 17010008 34020016 68040032