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201553407 = 3311678631
BaseRepresentation
bin11000000001101…
…11010111111111
3112001020222022000
430000313113333
5403044202112
631555553343
74665114156
oct1400672777
9461228260
10201553407
11a3854070
12575bb853
13329ac393
141caa859d
1512a647dc
hexc0375ff

201553407 has 16 divisors (see below), whose sum is σ = 325743360. Its totient is φ = 122153400.

The previous prime is 201553403. The next prime is 201553409. The reversal of 201553407 is 704355102.

It is a happy number.

201553407 is a `hidden beast` number, since 201 + 5 + 53 + 407 = 666.

It is not a de Polignac number, because 201553407 - 22 = 201553403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201553403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339019 + ... + 339612.

It is an arithmetic number, because the mean of its divisors is an integer number (20358960).

Almost surely, 2201553407 is an apocalyptic number.

201553407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

201553407 is a deficient number, since it is larger than the sum of its proper divisors (124189953).

201553407 is a wasteful number, since it uses less digits than its factorization.

201553407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678651 (or 678645 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 201553407 is about 14196.9506232853. The cubic root of 201553407 is about 586.3137077503.

The spelling of 201553407 in words is "two hundred one million, five hundred fifty-three thousand, four hundred seven".

Divisors: 1 3 9 11 27 33 99 297 678631 2035893 6107679 7464941 18323037 22394823 67184469 201553407