Search a number
-
+
1823052630 = 2357172571987
BaseRepresentation
bin110110010101001…
…1001001101010110
311201001101200001210
41230222121031112
512213200141010
6500522202250
763114456150
oct15452311526
94631350053
101823052630
1185607a473
1242a653386
13230901a89
14134197ad0
15aa0adb20
hex6ca99356

1823052630 has 128 divisors (see below), whose sum is σ = 5317788672. Its totient is φ = 390463488.

The previous prime is 1823052601. The next prime is 1823052631. The reversal of 1823052630 is 362503281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823052631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916497 + ... + 918483.

It is an arithmetic number, because the mean of its divisors is an integer number (41545224).

Almost surely, 21823052630 is an apocalyptic number.

1823052630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823052630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658894336).

1823052630 is an abundant number, since it is smaller than the sum of its proper divisors (3494736042).

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

1823052630 is a wasteful number, since it uses less digits than its factorization.

1823052630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1823052630 is about 42697.2204013329. The cubic root of 1823052630 is about 1221.6113774276.

The spelling of 1823052630 in words is "one billion, eight hundred twenty-three million, fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 257 357 510 514 595 714 771 1190 1285 1542 1785 1799 1987 2570 3570 3598 3855 3974 4369 5397 5961 7710 8738 8995 9935 10794 11922 13107 13909 17990 19870 21845 26214 26985 27818 29805 30583 33779 41727 43690 53970 59610 61166 65535 67558 69545 83454 91749 101337 131070 139090 152915 168895 183498 202674 208635 236453 305830 337790 417270 458745 472906 506685 510659 709359 917490 1013370 1021318 1182265 1418718 1531977 2364530 2553295 3063954 3546795 3574613 5106590 7093590 7149226 7659885 8681203 10723839 15319770 17362406 17873065 21447678 26043609 35746130 43406015 52087218 53619195 60768421 86812030 107238390 121536842 130218045 182305263 260436090 303842105 364610526 607684210 911526315 1823052630