Search a number
-
+
1076164452 = 2232114767863
BaseRepresentation
bin100000000100100…
…1111011101100100
32202222222211002200
41000021033131210
54200444230302
6254441534500
735445150456
oct10011173544
92688884080
101076164452
11502515310
122604a4430
13141c567cc
14a2cd62d6
156472881c
hex4024f764

1076164452 has 144 divisors (see below), whose sum is σ = 3079544832. Its totient is φ = 314043840.

The previous prime is 1076164421. The next prime is 1076164459. The reversal of 1076164452 is 2544616701.

1076164452 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 644 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1076164459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246573 + ... + 1247435.

It is an arithmetic number, because the mean of its divisors is an integer number (21385728).

Almost surely, 21076164452 is an apocalyptic number.

1076164452 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 1076164452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539772416).

1076164452 is an abundant number, since it is smaller than the sum of its proper divisors (2003380380).

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

1076164452 is a wasteful number, since it uses less digits than its factorization.

1076164452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1076164452 is about 32804.9455417929. The cubic root of 1076164452 is about 1024.7695542220.

The spelling of 1076164452 in words is "one billion, seventy-six million, one hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 67 94 99 132 134 141 188 198 201 268 282 396 402 423 517 564 603 737 804 846 863 1034 1206 1474 1551 1692 1726 2068 2211 2412 2589 2948 3102 3149 3452 4422 4653 5178 6204 6298 6633 7767 8844 9306 9447 9493 10356 12596 13266 15534 18612 18894 18986 26532 28341 28479 31068 34639 37788 37972 40561 56682 56958 57821 69278 81122 85437 103917 113364 113916 115642 121683 138556 162244 170874 173463 207834 231284 243366 311751 341748 346926 365049 415668 446171 486732 520389 623502 636031 693852 730098 892342 1040778 1247004 1272062 1338513 1460196 1784684 1908093 2081556 2544124 2677026 2717587 3816186 4015539 5354052 5435174 5724279 7632372 8031078 8152761 10870348 11448558 16062156 16305522 22897116 24458283 29893457 32611044 48916566 59786914 89680371 97833132 119573828 179360742 269041113 358721484 538082226 1076164452