Search a number
-
+
1140932624 = 241397193293
BaseRepresentation
bin100010000000001…
…0100000000010000
32221111212101022212
41010000110000100
54314034320444
6305114051252
740162524116
oct10400240020
92844771285
101140932624
11536032627
1227a119b28
131524b2b80
14ab755ab6
156a26e19e
hex44014010

1140932624 has 80 divisors (see below), whose sum is σ = 2425855152. Its totient is φ = 516685824.

The previous prime is 1140932623. The next prime is 1140932627. The reversal of 1140932624 is 4262390411.

It can be written as a sum of positive squares in 8 ways, for example, as 7398400 + 1133534224 = 2720^2 + 33668^2 .

It is not an unprimeable number, because it can be changed into a prime (1140932623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893822 + ... + 3894114.

Almost surely, 21140932624 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 1140932624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212927576).

1140932624 is an abundant number, since it is smaller than the sum of its proper divisors (1284922528).

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

1140932624 is a wasteful number, since it uses less digits than its factorization.

1140932624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1140932624 is about 33777.6941782591. The cubic root of 1140932624 is about 1044.9287205184.

The spelling of 1140932624 in words is "one billion, one hundred forty million, nine hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 97 104 193 194 208 293 386 388 586 772 776 1172 1261 1544 1552 2344 2509 2522 3088 3809 4688 5018 5044 7618 10036 10088 15236 18721 20072 20176 28421 30472 37442 40144 56549 56842 60944 74884 113098 113684 149768 226196 227368 243373 299536 369473 452392 454736 486746 735137 738946 904784 973492 1470274 1477892 1946984 2940548 2955784 3893968 5485253 5881096 5911568 10970506 11762192 21941012 43882024 71308289 87764048 142616578 285233156 570466312 1140932624