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201396640 = 2556718787
BaseRepresentation
bin11000000000100…
…01000110100000
3112000222000020211
430000101012200
5403024143030
631552343504
74663562134
oct1400210640
9460860224
10201396640
11a3757305
1257544b94
1332955c13
141ca673c4
1512a3312a
hexc0111a0

201396640 has 48 divisors (see below), whose sum is σ = 482926752. Its totient is φ = 79352064.

The previous prime is 201396607. The next prime is 201396641. The reversal of 201396640 is 46693102.

It is not an unprimeable number, because it can be changed into a prime (201396641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 20113.

It is an arithmetic number, because the mean of its divisors is an integer number (10060974).

Almost surely, 2201396640 is an apocalyptic number.

201396640 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 201396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241463376).

201396640 is an abundant number, since it is smaller than the sum of its proper divisors (281530112).

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

201396640 is a wasteful number, since it uses less digits than its factorization.

201396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18869 (or 18861 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 201396640 is about 14191.4283988611. The cubic root of 201396640 is about 586.1616579241.

The spelling of 201396640 in words is "two hundred one million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 18787 37574 75148 93935 150296 187870 300592 375740 601184 751480 1258729 1502960 2517458 3005920 5034916 6293645 10069832 12587290 20139664 25174580 40279328 50349160 100698320 201396640