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1140530652 = 223359712521
BaseRepresentation
bin100001111111011…
…0001110111011100
32221111002221221000
41003332301313130
54313433440102
6305101310300
740156231152
oct10376616734
92844087830
101140530652
11535888618
12279b65390
131523a1c11
14ab68d3d2
156a1e001c
hex43fb1ddc

1140530652 has 96 divisors (see below), whose sum is σ = 3050611200. Its totient is φ = 368323200.

The previous prime is 1140530609. The next prime is 1140530669. The reversal of 1140530652 is 2560350411.

1140530652 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 3 + 0 + 652 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451152 + ... + 453672.

It is an arithmetic number, because the mean of its divisors is an integer number (31777200).

Almost surely, 21140530652 is an apocalyptic number.

1140530652 is a gapful number since it is divisible by the number (12) 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 1140530652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525305600).

1140530652 is an abundant number, since it is smaller than the sum of its proper divisors (1910080548).

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

1140530652 is a wasteful number, since it uses less digits than its factorization.

1140530652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1140530652 is about 33771.7433959220. The cubic root of 1140530652 is about 1044.8059900968.

The spelling of 1140530652 in words is "one billion, one hundred forty million, five hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 71 108 118 142 177 213 236 284 354 426 531 639 708 852 1062 1278 1593 1917 2124 2521 2556 3186 3834 4189 5042 6372 7563 7668 8378 10084 12567 15126 16756 22689 25134 30252 37701 45378 50268 68067 75402 90756 113103 136134 148739 150804 178991 226206 272268 297478 357982 446217 452412 536973 594956 715964 892434 1073946 1338651 1610919 1784868 2147892 2677302 3221838 4015953 4832757 5354604 6443676 8031906 9665514 10560469 16063812 19331028 21120938 31681407 42241876 63362814 95044221 126725628 190088442 285132663 380176884 570265326 1140530652