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201375720 = 23345713683
BaseRepresentation
bin11000000000010…
…11111111101000
3112000220221120000
430000023333220
5403023010340
631552103000
74663444140
oct1400137750
9460827500
10201375720
11a3742617
1257534a60
1332949540
141ca5d920
1512a2bd30
hexc00bfe8

201375720 has 320 divisors, whose sum is σ = 834261120. Its totient is φ = 42425856.

The previous prime is 201375709. The next prime is 201375817. The reversal of 201375720 is 27573102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294499 + ... + 295181.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2201375720 is an apocalyptic number.

201375720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201375720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

201375720 is an abundant number, since it is smaller than the sum of its proper divisors (632885400).

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

201375720 is a wasteful number, since it uses less digits than its factorization.

201375720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 201375720 is about 14190.6913150840. The cubic root of 201375720 is about 586.1413614476.

The spelling of 201375720 in words is "two hundred one million, three hundred seventy-five thousand, seven hundred twenty".