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268722720 = 25325753503
BaseRepresentation
bin10000000001000…
…110001000100000
3200201122112021100
4100001012020200
51022243111340
642355354400
76442051110
oct2001061040
9621575240
10268722720
111287613a2
1275bb2a00
1343899636
1427991040
15188d1830
hex10046220

268722720 has 288 divisors, whose sum is σ = 1069915392. Its totient is φ = 60143616.

The previous prime is 268722703. The next prime is 268722737. The reversal of 268722720 is 27227862.

268722720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268722703) and next prime (268722737).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 533989 + ... + 534491.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2268722720 is an apocalyptic number.

268722720 is a gapful number since it is divisible by the number (20) 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 268722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

268722720 is an abundant number, since it is smaller than the sum of its proper divisors (801192672).

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

268722720 is a wasteful number, since it uses less digits than its factorization.

268722720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 268722720 is about 16392.7642574399. The cubic root of 268722720 is about 645.3096043837.

It can be divided in two parts, 26872 and 2720, that added together give a palindrome (29592).

The spelling of 268722720 in words is "two hundred sixty-eight million, seven hundred twenty-two thousand, seven hundred twenty".