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68037570 = 23851761
BaseRepresentation
bin1000000111000…
…10101111000010
311202000200000000
410003202233002
5114404200240
610430140430
71454211156
oct403425702
9152020000
1068037570
11354506a7
121a951716
1311132523
149071066
155e8e430
hex40e2bc2

68037570 has 144 divisors (see below), whose sum is σ = 197686008. Its totient is φ = 16796160.

The previous prime is 68037569. The next prime is 68037589. The reversal of 68037570 is 7573086.

68037570 is a `hidden beast` number, since 6 + 80 + 3 + 7 + 570 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45198729 + 22838841 = 6723^2 + 4779^2 .

It is a super-2 number, since 2×680375702 = 9258221863009800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115340 + ... + 1115400.

Almost surely, 268037570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68037570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98843004).

68037570 is an abundant number, since it is smaller than the sum of its proper divisors (129648438).

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

68037570 is an equidigital number, since it uses as much as digits as its factorization.

68037570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 68037570 is about 8248.4889525294. The cubic root of 68037570 is about 408.2406668335.

The spelling of 68037570 in words is "sixty-eight million, thirty-seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 81 85 90 102 122 135 153 162 170 183 243 255 270 305 306 366 405 459 486 510 549 610 729 765 810 915 918 1037 1098 1215 1377 1458 1530 1647 1830 2074 2187 2295 2430 2745 2754 3111 3294 3645 4131 4374 4590 4941 5185 5490 6222 6561 6885 7290 8235 8262 9333 9882 10370 10935 12393 13122 13770 14823 15555 16470 18666 20655 21870 24705 24786 27999 29646 31110 32805 37179 41310 44469 46665 49410 55998 61965 65610 74115 74358 83997 88938 93330 111537 123930 133407 139995 148230 167994 185895 222345 223074 251991 266814 279990 371790 400221 419985 444690 503982 557685 667035 755973 800442 839970 1115370 1259955 1334070 1511946 2001105 2267919 2519910 3779865 4002210 4535838 6803757 7559730 11339595 13607514 22679190 34018785 68037570