Search a number
-
+
201056640 = 2735104717
BaseRepresentation
bin10111111101111…
…10000110000000
3112000022201212020
423332332012000
5402432303030
631541201440
74660644651
oct1376760600
9460281766
10201056640
11a3544914
1257400280
1332867235
141c9b9528
15129b7510
hexbfbe180

201056640 has 64 divisors (see below), whose sum is σ = 640874160. Its totient is φ = 53614592.

The previous prime is 201056633. The next prime is 201056641. The reversal of 201056640 is 46650102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201056640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201056641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50439 + ... + 54278.

Almost surely, 2201056640 is an apocalyptic number.

201056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201056640 is an abundant number, since it is smaller than the sum of its proper divisors (439817520).

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

201056640 is a wasteful number, since it uses less digits than its factorization.

201056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104739 (or 104727 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 201056640 is about 14179.4442768396. Note that the first 3 decimals coincide. The cubic root of 201056640 is about 585.8316172977.

The spelling of 201056640 in words is "two hundred one million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 104717 209434 314151 418868 523585 628302 837736 1047170 1256604 1570755 1675472 2094340 2513208 3141510 3350944 4188680 5026416 6283020 6701888 8377360 10052832 12566040 13403776 16754720 20105664 25132080 33509440 40211328 50264160 67018880 100528320 201056640