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38807020 = 225735657
BaseRepresentation
bin1001010000001…
…0010111101100
32201000121020001
42110002113230
534413311040
63503434044
7650566000
oct224022754
981017201
1038807020
111a9a631a
1210bb5924
138069845
145222700
15361859a
hex25025ec

38807020 has 48 divisors (see below), whose sum is σ = 95054400. Its totient is φ = 13302912.

The previous prime is 38807011. The next prime is 38807023. The reversal of 38807020 is 2070883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 38807020.

It is not an unprimeable number, because it can be changed into a prime (38807023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 9688.

It is an arithmetic number, because the mean of its divisors is an integer number (1980300).

Almost surely, 238807020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38807020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47527200).

38807020 is an abundant number, since it is smaller than the sum of its proper divisors (56247380).

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

38807020 is a wasteful number, since it uses less digits than its factorization.

38807020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 38807020 is about 6229.5280720132. The cubic root of 38807020 is about 338.5608721738.

The spelling of 38807020 in words is "thirty-eight million, eight hundred seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 5657 6860 11314 22628 28285 39599 56570 79198 113140 158396 197995 277193 395990 554386 791980 1108772 1385965 1940351 2771930 3880702 5543860 7761404 9701755 19403510 38807020