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387059140 = 225137320393
BaseRepresentation
bin10111000100100…
…000110111000100
3222222022122022201
4113010200313010
51243041343030
6102224004244
712406643206
oct2704406704
9888278281
10387059140
11189537296
12a9760684
13622602a0
1439596776
1523ea92ca
hex17120dc4

387059140 has 48 divisors (see below), whose sum is σ = 887383728. Its totient is φ = 140949504.

The previous prime is 387059137. The next prime is 387059161. The reversal of 387059140 is 41950783.

It can be written as a sum of positive squares in 8 ways, for example, as 17189316 + 369869824 = 4146^2 + 19232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 387059140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8784 + ... + 29176.

It is an arithmetic number, because the mean of its divisors is an integer number (18487161).

Almost surely, 2387059140 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 387059140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443691864).

387059140 is an abundant number, since it is smaller than the sum of its proper divisors (500324588).

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

387059140 is a wasteful number, since it uses less digits than its factorization.

387059140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20488 (or 20486 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 387059140 is about 19673.8186430596. The cubic root of 387059140 is about 728.7732822005.

The spelling of 387059140 in words is "three hundred eighty-seven million, fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 18980 20393 40786 81572 101965 203930 265109 407860 530218 1060436 1325545 1488689 2651090 2977378 5302180 5954756 7443445 14886890 19352957 29773780 38705914 77411828 96764785 193529570 387059140