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201261424 = 247413231
BaseRepresentation
bin10111111111100…
…00000101110000
3112000201010202211
423333300011300
5403010331144
631545421504
74662460000
oct1377600560
9460633684
10201261424
11a3674761
125749a894
1332909500
141ca30000
1512a08034
hexbff0170

201261424 has 150 divisors (see below), whose sum is σ = 508482336. Its totient is φ = 77051520.

The previous prime is 201261413. The next prime is 201261443. The reversal of 201261424 is 424162102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201261395 and 201261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6492289 + ... + 6492319.

Almost surely, 2201261424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201261424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254241168).

201261424 is an abundant number, since it is smaller than the sum of its proper divisors (307220912).

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

201261424 is an equidigital number, since it uses as much as digits as its factorization.

201261424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 201261424 is about 14186.6635964909. The cubic root of 201261424 is about 586.0304472293.

It can be divided in two parts, 2012 and 61424, that added together give a palindrome (63436).

The spelling of 201261424 in words is "two hundred one million, two hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 169 182 196 208 217 248 338 343 364 392 403 434 496 637 676 686 728 784 806 868 1183 1274 1352 1372 1456 1519 1612 1736 2366 2401 2548 2704 2744 2821 3038 3224 3472 4459 4732 4802 5096 5239 5488 5642 6076 6448 8281 8918 9464 9604 10192 10478 10633 11284 12152 16562 17836 18928 19208 19747 20956 21266 22568 24304 31213 33124 35672 36673 38416 39494 41912 42532 45136 57967 62426 66248 71344 73346 74431 78988 83824 85064 115934 124852 132496 138229 146692 148862 157976 170128 231868 249704 256711 276458 293384 297724 315952 405769 463736 499408 513422 552916 586768 595448 811538 927472 967603 1026844 1105832 1190896 1623076 1796977 1935206 2053688 2211664 3246152 3593954 3870412 4107376 6492304 7187908 7740824 12578839 14375816 15481648 25157678 28751632 50315356 100630712 201261424