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68687460 = 22335311409
BaseRepresentation
bin1000001100000…
…01011001100100
311210020200111000
410012001121210
5120040444320
610452113300
71462555662
oct406013144
9153220430
1068687460
11358549a6
121b005830
13112cc28a
14919dc32
15606bc90
hex4181664

68687460 has 96 divisors (see below), whose sum is σ = 214905600. Its totient is φ = 18213120.

The previous prime is 68687393. The next prime is 68687467. The reversal of 68687460 is 6478686.

It is a happy number.

It is a super-2 number, since 2×686874602 = 9435934322503200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68687467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167736 + ... + 168144.

It is an arithmetic number, because the mean of its divisors is an integer number (2238600).

Almost surely, 268687460 is an apocalyptic number.

68687460 is a gapful number since it is divisible by the number (60) 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 68687460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107452800).

68687460 is an abundant number, since it is smaller than the sum of its proper divisors (146218140).

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

68687460 is a wasteful number, since it uses less digits than its factorization.

68687460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 68687460 is about 8287.7898139371. The cubic root of 68687460 is about 409.5363785793.

The spelling of 68687460 in words is "sixty-eight million, six hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 311 409 540 622 818 933 1227 1244 1555 1636 1866 2045 2454 2799 3110 3681 3732 4090 4665 4908 5598 6135 6220 7362 8180 8397 9330 11043 11196 12270 13995 14724 16794 18405 18660 22086 24540 27990 33588 36810 41985 44172 55215 55980 73620 83970 110430 127199 167940 220860 254398 381597 508796 635995 763194 1144791 1271990 1526388 1907985 2289582 2543980 3434373 3815970 4579164 5723955 6868746 7631940 11447910 13737492 17171865 22895820 34343730 68687460