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68648220 = 223252913151
BaseRepresentation
bin1000001011101…
…11110100011100
311210011200122200
410011313310130
5120033220340
610451211500
71462333404
oct405676434
9153150580
1068648220
1135828473
121aba6b90
13112b7464
14918d804
156060330
hex4177d1c

68648220 has 72 divisors (see below), whose sum is σ = 215429760. Its totient is φ = 17673600.

The previous prime is 68648219. The next prime is 68648231. The reversal of 68648220 is 2284686.

68648220 is a `hidden beast` number, since 6 + 8 + 648 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1356 + ... + 11795.

It is an arithmetic number, because the mean of its divisors is an integer number (2992080).

Almost surely, 268648220 is an apocalyptic number.

68648220 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 68648220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107714880).

68648220 is an abundant number, since it is smaller than the sum of its proper divisors (146781540).

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

68648220 is a wasteful number, since it uses less digits than its factorization.

68648220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68648220 is about 8285.4221377067. The cubic root of 68648220 is about 409.4583766233.

The spelling of 68648220 in words is "sixty-eight million, six hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 13151 26302 39453 52604 65755 78906 118359 131510 157812 197265 236718 263020 381379 394530 473436 591795 762758 789060 1144137 1183590 1525516 1906895 2288274 2367180 3432411 3813790 4576548 5720685 6864822 7627580 11441370 13729644 17162055 22882740 34324110 68648220