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201028920 = 23357572213
BaseRepresentation
bin10111111101101…
…11010100111000
3112000021022211120
423332313110320
5402430411140
631540425240
74660501101
oct1376672470
9460238746
10201028920
11a3526004
12573a8220
1332857731
141c9ad3a8
15129ae1d0
hexbfb7538

201028920 has 64 divisors (see below), whose sum is σ = 604156320. Its totient is φ = 53512704.

The previous prime is 201028909. The next prime is 201028939. The reversal of 201028920 is 29820102.

201028920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 89734 + ... + 91946.

Almost surely, 2201028920 is an apocalyptic number.

201028920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201028920 is an abundant number, since it is smaller than the sum of its proper divisors (403127400).

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

201028920 is a wasteful number, since it uses less digits than its factorization.

201028920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201028920 is about 14178.4667718340. The cubic root of 201028920 is about 585.8046928801.

The spelling of 201028920 in words is "two hundred one million, twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 757 1514 2213 2271 3028 3785 4426 4542 6056 6639 7570 8852 9084 11065 11355 13278 15140 17704 18168 22130 22710 26556 30280 33195 44260 45420 53112 66390 88520 90840 132780 265560 1675241 3350482 5025723 6700964 8376205 10051446 13401928 16752410 20102892 25128615 33504820 40205784 50257230 67009640 100514460 201028920