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201456040 = 23529173669
BaseRepresentation
bin11000000000111…
…11100110101000
3112001002000201211
430000133212220
5403033043130
631553522504
74664230252
oct1400374650
9461060654
10201456040
11a37979a5
1257573434
1332976c76
141ca80cd2
1512a45a2a
hexc01f9a8

201456040 has 32 divisors (see below), whose sum is σ = 468909000. Its totient is φ = 77803264.

The previous prime is 201456019. The next prime is 201456043. The reversal of 201456040 is 40654102.

It can be written as a sum of positive squares in 4 ways, for example, as 196953156 + 4502884 = 14034^2 + 2122^2 .

It is not an unprimeable number, because it can be changed into a prime (201456043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85675 + ... + 87994.

Almost surely, 2201456040 is an apocalyptic number.

201456040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201456040 is an abundant number, since it is smaller than the sum of its proper divisors (267452960).

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

201456040 is a wasteful number, since it uses less digits than its factorization.

201456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173709 (or 173705 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 201456040 is about 14193.5210571584. The cubic root of 201456040 is about 586.2192798386.

The spelling of 201456040 in words is "two hundred one million, four hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 173669 347338 694676 868345 1389352 1736690 3473380 5036401 6946760 10072802 20145604 25182005 40291208 50364010 100728020 201456040