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201312460 = 22541383641
BaseRepresentation
bin10111111111111…
…00100011001100
3112000210201210001
423333330203030
5403013444320
631550454044
74663061536
oct1377744314
9460721701
10201312460
11a36aa038
1257504324
13329267cb
141ca44856
1512a1820a
hexbffc8cc

201312460 has 48 divisors (see below), whose sum is σ = 434875392. Its totient is φ = 78233600.

The previous prime is 201312457. The next prime is 201312499. The reversal of 201312460 is 64213102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313740 + ... + 314380.

It is an arithmetic number, because the mean of its divisors is an integer number (9059904).

Almost surely, 2201312460 is an apocalyptic number.

201312460 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 201312460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217437696).

201312460 is an abundant number, since it is smaller than the sum of its proper divisors (233562932).

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

201312460 is a wasteful number, since it uses less digits than its factorization.

201312460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 201312460 is about 14188.4622140668. The cubic root of 201312460 is about 586.0799783674.

Adding to 201312460 its reverse (64213102), we get a palindrome (265525562).

The spelling of 201312460 in words is "two hundred one million, three hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 383 410 641 766 820 1282 1532 1915 2564 3205 3830 6410 7660 12820 15703 26281 31406 52562 62812 78515 105124 131405 157030 245503 262810 314060 491006 525620 982012 1227515 2455030 4910060 10065623 20131246 40262492 50328115 100656230 201312460