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68990760 = 233251711273
BaseRepresentation
bin1000001110010…
…11011100101000
311210211002112100
410013023130220
5120130201020
610502413400
71465261146
oct407133450
9153732470
1068990760
1135a41863
121b131260
13113a7347
14923c596
1560cba90
hex41cb728

68990760 has 96 divisors (see below), whose sum is σ = 237430440. Its totient is φ = 17313792.

The previous prime is 68990737. The next prime is 68990773. The reversal of 68990760 is 6709986.

It can be written as a sum of positive squares in 4 ways, for example, as 56160036 + 12830724 = 7494^2 + 3582^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 11756.

Almost surely, 268990760 is an apocalyptic number.

68990760 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 68990760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715220).

68990760 is an abundant number, since it is smaller than the sum of its proper divisors (168439680).

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

68990760 is a wasteful number, since it uses less digits than its factorization.

68990760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 68990760 is about 8306.0676616555. The cubic root of 68990760 is about 410.1382837137.

The spelling of 68990760 in words is "sixty-eight million, nine hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 11273 22546 33819 45092 56365 67638 90184 101457 112730 135276 169095 191641 202914 225460 270552 338190 383282 405828 450920 507285 574923 676380 766564 811656 958205 1014570 1149846 1352760 1533128 1724769 1916410 2029140 2299692 2874615 3449538 3832820 4058280 4599384 5749230 6899076 7665640 8623845 11498460 13798152 17247690 22996920 34495380 68990760