Search a number
-
+
10624924830 = 235131910313921
BaseRepresentation
bin10011110010100101…
…10111110010011110
31000102110200002211110
421321102313302132
5133224440043310
64514145002450
7524203241142
oct117122676236
930373602743
1010624924830
114562547313
122086323426
131004301c90
1472b157222
15422ba0d20
hex2794b7c9e

10624924830 has 128 divisors (see below), whose sum is σ = 29189422080. Its totient is φ = 2453483520.

The previous prime is 10624924781. The next prime is 10624924831. The reversal of 10624924830 is 3842942601.

It is a super-2 number, since 2×106249248302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624924831) 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, 756270 + ... + 770190.

It is an arithmetic number, because the mean of its divisors is an integer number (228042360).

Almost surely, 210624924830 is an apocalyptic number.

10624924830 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 10624924830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594711040).

10624924830 is an abundant number, since it is smaller than the sum of its proper divisors (18564497250).

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

10624924830 is a wasteful number, since it uses less digits than its factorization.

10624924830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14066.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10624924830 in words is "ten billion, six hundred twenty-four million, nine hundred twenty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 103 114 130 190 195 206 247 285 309 390 494 515 570 618 741 1030 1235 1339 1482 1545 1957 2470 2678 3090 3705 3914 4017 5871 6695 7410 8034 9785 11742 13390 13921 19570 20085 25441 27842 29355 40170 41763 50882 58710 69605 76323 83526 127205 139210 152646 180973 208815 254410 264499 361946 381615 417630 528998 542919 763230 793497 904865 1085838 1322495 1433863 1586994 1809730 2644990 2714595 2867726 3438487 3967485 4301589 5429190 6876974 7169315 7934970 8603178 10315461 14338630 17192435 18640219 20630922 21507945 27243397 34384870 37280438 43015890 51577305 54486794 55920657 81730191 93201095 103154610 111841314 136216985 163460382 186402190 272433970 279603285 354164161 408650955 559206570 708328322 817301910 1062492483 1770820805 2124984966 3541641610 5312462415 10624924830