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201312240 = 24354319507
BaseRepresentation
bin10111111111111…
…00011111110000
3112000210201110220
423333330133300
5403013442430
631550453040
74663061103
oct1377743760
9460721426
10201312240
11a36a9958
1257504180
133292668c
141ca4473a
1512a18110
hexbffc7f0

201312240 has 80 divisors (see below), whose sum is σ = 638613888. Its totient is φ = 52432128.

The previous prime is 201312217. The next prime is 201312257. The reversal of 201312240 is 42213102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 567 + ... + 20073.

Almost surely, 2201312240 is an apocalyptic number.

201312240 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 201312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319306944).

201312240 is an abundant number, since it is smaller than the sum of its proper divisors (437301648).

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

201312240 is a wasteful number, since it uses less digits than its factorization.

201312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201312240 is about 14188.4544612865. The cubic root of 201312240 is about 586.0797648724.

Adding to 201312240 its reverse (42213102), we get a palindrome (243525342).

The spelling of 201312240 in words is "two hundred one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 19507 39014 58521 78028 97535 117042 156056 195070 234084 292605 312112 390140 468168 585210 780280 838801 936336 1170420 1560560 1677602 2340840 2516403 3355204 4194005 4681680 5032806 6710408 8388010 10065612 12582015 13420816 16776020 20131224 25164030 33552040 40262448 50328060 67104080 100656120 201312240