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201257040 = 2435838571
BaseRepresentation
bin10111111111011…
…11000001010000
3112000200220202110
423333233001100
5403010211130
631545345320
74662441135
oct1377570120
9460626673
10201257040
11a3671436
1257498240
133290750a
141ca2c58c
1512a06ab0
hexbfef050

201257040 has 40 divisors (see below), whose sum is σ = 623897568. Its totient is φ = 53668480.

The previous prime is 201257011. The next prime is 201257057. The reversal of 201257040 is 40752102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2012570402 = 81008792299123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201256998 and 201257016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419046 + ... + 419525.

Almost surely, 2201257040 is an apocalyptic number.

201257040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201257040 is an abundant number, since it is smaller than the sum of its proper divisors (422640528).

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

201257040 is a wasteful number, since it uses less digits than its factorization.

201257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838587 (or 838581 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 201257040 is about 14186.5090843378. The cubic root of 201257040 is about 586.0261921066.

The spelling of 201257040 in words is "two hundred one million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 838571 1677142 2515713 3354284 4192855 5031426 6708568 8385710 10062852 12578565 13417136 16771420 20125704 25157130 33542840 40251408 50314260 67085680 100628520 201257040