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38568240 = 243251723137
BaseRepresentation
bin1001001100100…
…0000100110000
32200120110200100
42103020010300
534333140430
63454352400
7645552564
oct223100460
980513610
1038568240
111a852987
1210abb700
137cb4c59
14519d6a4
1535bc960
hex24c8130

38568240 has 240 divisors, whose sum is σ = 144151488. Its totient is φ = 9191424.

The previous prime is 38568227. The next prime is 38568253. The reversal of 38568240 is 4286583.

It is an interprime number because it is at equal distance from previous prime (38568227) and next prime (38568253).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 38568195 and 38568204.

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, 281452 + ... + 281588.

Almost surely, 238568240 is an apocalyptic number.

38568240 is a gapful number since it is divisible by the number (30) 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 38568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72075744).

38568240 is an abundant number, since it is smaller than the sum of its proper divisors (105583248).

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

38568240 is a wasteful number, since it uses less digits than its factorization.

38568240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38568240 is about 6210.3333243877. Note that the first 4 decimals coincide. The cubic root of 38568240 is about 337.8650535607.

The spelling of 38568240 in words is "thirty-eight million, five hundred sixty-eight thousand, two hundred forty".