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201140424 = 233241611117
BaseRepresentation
bin10111111110100…
…10100011001000
3112000110222210100
423333102203020
5402442443144
631543045400
74661444142
oct1377224310
9460428710
10201140424
11a35a1861
1257440860
1332896404
141c9dbc92
15129d2269
hexbfd28c8

201140424 has 96 divisors (see below), whose sum is σ = 567698040. Its totient is φ = 64281600.

The previous prime is 201140417. The next prime is 201140449. The reversal of 201140424 is 424041102.

201140424 is a `hidden beast` number, since 201 + 1 + 40 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18404100 + 182736324 = 4290^2 + 13518^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201140397 and 201140406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179514 + ... + 180630.

Almost surely, 2201140424 is an apocalyptic number.

201140424 is a gapful number since it is divisible by the number (24) 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 201140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283849020).

201140424 is an abundant number, since it is smaller than the sum of its proper divisors (366557616).

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

201140424 is a wasteful number, since it uses less digits than its factorization.

201140424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201140424 is about 14182.3983867328. The cubic root of 201140424 is about 585.9129816002.

Adding to 201140424 its reverse (424041102), we get a palindrome (625181526).

It can be divided in two parts, 201 and 140424, that added together give a square (140625 = 3752).

The spelling of 201140424 in words is "two hundred one million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 61 72 82 122 123 164 183 244 246 328 366 369 488 492 549 732 738 984 1098 1117 1464 1476 2196 2234 2501 2952 3351 4392 4468 5002 6702 7503 8936 10004 10053 13404 15006 20008 20106 22509 26808 30012 40212 45018 45797 60024 68137 80424 90036 91594 136274 137391 180072 183188 204411 272548 274782 366376 408822 412173 545096 549564 613233 817644 824346 1099128 1226466 1635288 1648692 2452932 2793617 3297384 4905864 5587234 8380851 11174468 16761702 22348936 25142553 33523404 50285106 67046808 100570212 201140424