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10387020 = 2235723533
BaseRepresentation
bin100111100111…
…111001001100
3201112201022110
4213213321030
510124341040
61010344020
7154200600
oct47477114
921481273
1010387020
115954a16
12358b010
1321c8a87
141545500
15da2980
hex9e7e4c

10387020 has 72 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 2373504.

The previous prime is 10387001. The next prime is 10387031. The reversal of 10387020 is 2078301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 210387020 is an apocalyptic number.

10387020 is a gapful number since it is divisible by the number (10) 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 10387020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

10387020 is an abundant number, since it is smaller than the sum of its proper divisors (23454564).

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

10387020 is a wasteful number, since it uses less digits than its factorization.

10387020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10387020 is about 3222.8900074312. The cubic root of 10387020 is about 218.1877293222.

The spelling of 10387020 in words is "ten million, three hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3533 7066 10599 14132 17665 21198 24731 35330 42396 49462 52995 70660 74193 98924 105990 123655 148386 173117 211980 247310 296772 346234 370965 494620 519351 692468 741930 865585 1038702 1483860 1731170 2077404 2596755 3462340 5193510 10387020