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38730960 = 2434543139
BaseRepresentation
bin1001001110111…
…1110011010000
32200212201220000
42103233303100
534403342320
63502050000
7650131152
oct223576320
980781800
1038730960
111a954164
1210b79900
138041038
145202ad2
153600c90
hex24efcd0

38730960 has 200 divisors, whose sum is σ = 138636960. Its totient is φ = 10015488.

The previous prime is 38730959. The next prime is 38730983. The reversal of 38730960 is 6903783.

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 39 ways as a sum of consecutive naturals, for example, 278571 + ... + 278709.

Almost surely, 238730960 is an apocalyptic number.

38730960 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 38730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69318480).

38730960 is an abundant number, since it is smaller than the sum of its proper divisors (99906000).

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

38730960 is a wasteful number, since it uses less digits than its factorization.

38730960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38730960 is about 6223.4202814851. The cubic root of 38730960 is about 338.3395395229.

The spelling of 38730960 in words is "thirty-eight million, seven hundred thirty thousand, nine hundred sixty".