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1213640442 = 233783101383
BaseRepresentation
bin100100001010110…
…1010111011111010
310010120200022201000
41020111222323322
54441142443232
6320232305430
742034526220
oct11025527372
93116608630
101213640442
11573083033
1229a542276
1316458c051
14b7280b10
157183227c
hex4856aefa

1213640442 has 128 divisors (see below), whose sum is σ = 3158507520. Its totient is φ = 338299200.

The previous prime is 1213640431. The next prime is 1213640497. The reversal of 1213640442 is 2440463121.

It is a happy number.

1213640442 is a `hidden beast` number, since 1 + 2 + 13 + 640 + 4 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3168583 + ... + 3168965.

It is an arithmetic number, because the mean of its divisors is an integer number (24675840).

Almost surely, 21213640442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213640442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579253760).

1213640442 is an abundant number, since it is smaller than the sum of its proper divisors (1944867078).

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

1213640442 is a wasteful number, since it uses less digits than its factorization.

1213640442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1213640442 is about 34837.3426368889. The cubic root of 1213640442 is about 1066.6698343439.

The spelling of 1213640442 in words is "one billion, two hundred thirteen million, six hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 101 126 166 189 202 249 303 378 383 498 581 606 707 747 766 909 1149 1162 1414 1494 1743 1818 2121 2241 2298 2681 2727 3447 3486 4242 4482 5229 5362 5454 6363 6894 8043 8383 10341 10458 12726 15687 16086 16766 19089 20682 24129 25149 31374 31789 38178 38683 48258 50298 58681 63578 72387 75447 77366 95367 116049 117362 144774 150894 176043 190734 222523 226341 232098 270781 286101 348147 352086 445046 452682 528129 541562 572202 667569 696294 812343 858303 1044441 1056258 1335138 1584387 1624686 1716606 2002707 2088882 2437029 3168774 3210689 4005414 4874058 6008121 6421378 7311087 9632067 12016242 14622174 19264134 22474823 28896201 44949646 57792402 67424469 86688603 134848938 173377206 202273407 404546814 606820221 1213640442