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68431590 = 232529157167
BaseRepresentation
bin1000001010000…
…10111011100110
311202202200111100
410011002323212
5120004302330
610442420530
71460442003
oct405027346
9152680440
1068431590
113569a737
121ab01746
131123c986
1491348aa
15601b060
hex4142ee6

68431590 has 96 divisors (see below), whose sum is σ = 186338880. Its totient is φ = 17402112.

The previous prime is 68431567. The next prime is 68431603. The reversal of 68431590 is 9513486.

68431590 is a `hidden beast` number, since 68 + 4 + 3 + 1 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409687 + ... + 409853.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 268431590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68431590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93169440).

68431590 is an abundant number, since it is smaller than the sum of its proper divisors (117907290).

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

68431590 is a wasteful number, since it uses less digits than its factorization.

68431590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68431590 is about 8272.3388470251. The cubic root of 68431590 is about 409.0272198494.

The spelling of 68431590 in words is "sixty-eight million, four hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 157 167 174 261 290 314 334 435 471 501 522 785 835 870 942 1002 1305 1413 1503 1570 1670 2355 2505 2610 2826 3006 4553 4710 4843 5010 7065 7515 9106 9686 13659 14130 14529 15030 22765 24215 26219 27318 29058 40977 43587 45530 48430 52438 68295 72645 78657 81954 87174 131095 136590 145290 157314 204885 217935 235971 262190 393285 409770 435870 471942 760351 786570 1179855 1520702 2281053 2359710 3801755 4562106 6843159 7603510 11405265 13686318 22810530 34215795 68431590