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201373640 = 23513229789
BaseRepresentation
bin11000000000010…
…11011111001000
3112000220211200222
430000023133020
5403022424030
631552045212
74663435106
oct1400133710
9460824628
10201373640
11a3740aa6
1257533808
1332948600
141ca5cc76
1512a2b3e5
hexc00b7c8

201373640 has 48 divisors (see below), whose sum is σ = 490641300. Its totient is φ = 74350848.

The previous prime is 201373637. The next prime is 201373661. The reversal of 201373640 is 46373102.

It can be written as a sum of positive squares in 6 ways, for example, as 131044 + 201242596 = 362^2 + 14186^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8135 + ... + 21654.

Almost surely, 2201373640 is an apocalyptic number.

201373640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201373640 is an abundant number, since it is smaller than the sum of its proper divisors (289267660).

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

201373640 is a wasteful number, since it uses less digits than its factorization.

201373640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29826 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 201373640 is about 14190.6180274152. The cubic root of 201373640 is about 586.1393433654.

The spelling of 201373640 in words is "two hundred one million, three hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 29789 59578 119156 148945 238312 297890 387257 595780 774514 1191560 1549028 1936285 3098056 3872570 5034341 7745140 10068682 15490280 20137364 25171705 40274728 50343410 100686820 201373640