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201452040 = 233251732917
BaseRepresentation
bin11000000000111…
…10101000001000
3112001001211020200
430000132220020
5403032431130
631553452200
74664212506
oct1400365010
9461054220
10201452040
11a3794999
1257571060
13329751ba
141ca7d676
1512a44760
hexc01ea08

201452040 has 96 divisors (see below), whose sum is σ = 693253080. Its totient is φ = 50558976.

The previous prime is 201452021. The next prime is 201452047. The reversal of 201452040 is 40254102.

It can be written as a sum of positive squares in 4 ways, for example, as 184362084 + 17089956 = 13578^2 + 4134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201452047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10339 + ... + 22578.

Almost surely, 2201452040 is an apocalyptic number.

201452040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201452040 is an abundant number, since it is smaller than the sum of its proper divisors (491801040).

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

201452040 is a wasteful number, since it uses less digits than its factorization.

201452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32951 (or 32944 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201452040 is about 14193.3801470967. The cubic root of 201452040 is about 586.2153999307.

The spelling of 201452040 in words is "two hundred one million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 32917 65834 98751 131668 164585 197502 263336 296253 329170 395004 493755 559589 592506 658340 790008 987510 1119178 1185012 1316680 1481265 1678767 1975020 2238356 2370024 2797945 2962530 3357534 3950040 4476712 5036301 5595890 5925060 6715068 8393835 10072602 11191780 11850120 13430136 16787670 20145204 22383560 25181505 33575340 40290408 50363010 67150680 100726020 201452040