Search a number
-
+
107392157290 = 25112234322087
BaseRepresentation
bin110010000000100010…
…0100100011001101010
3101021012100021211201001
41210001010210121222
53224414343013130
6121200230345214
710521164163325
oct1440104443152
9337170254631
10107392157290
11415aa089300
12189914bb20a
13a18613c302
1452aaadd7bc
152bd81b86ca
hex190112466a

107392157290 has 144 divisors (see below), whose sum is σ = 227099666304. Its totient is φ = 36467618880.

The previous prime is 107392157237. The next prime is 107392157297. The reversal of 107392157290 is 92751293701.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 107392157290.

It is not an unprimeable number, because it can be changed into a prime (107392157297) 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 71 ways as a sum of consecutive naturals, for example, 51456627 + ... + 51458713.

It is an arithmetic number, because the mean of its divisors is an integer number (1577081016).

Almost surely, 2107392157290 is an apocalyptic number.

107392157290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107392157290 is an abundant number, since it is smaller than the sum of its proper divisors (119707509014).

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

107392157290 is a wasteful number, since it uses less digits than its factorization.

107392157290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 107392157290 in words is "one hundred seven billion, three hundred ninety-two million, one hundred fifty-seven thousand, two hundred ninety".

Divisors: 1 2 5 10 11 22 23 43 46 55 86 110 115 121 215 230 242 253 430 473 506 605 946 989 1210 1265 1849 1978 2087 2365 2530 2783 3698 4174 4730 4945 5203 5566 9245 9890 10406 10435 10879 13915 18490 20339 20870 21758 22957 26015 27830 40678 42527 45914 48001 52030 54395 85054 89741 96002 101695 108790 114785 119669 179482 203390 212635 223729 229570 239338 240005 252527 425270 447458 448705 467797 480010 505054 528011 598345 897410 935594 987151 1056022 1118645 1196690 1262635 1974302 2064043 2237290 2338985 2525270 2640055 3858863 4128086 4677970 4935755 5145767 5280110 5808121 7717726 9871510 10291534 10320215 10858661 11616242 19294315 20640430 21717322 22704473 25728835 29040605 38588630 42447493 45408946 51457670 54293305 58081210 84894986 88753849 108586610 113522365 177507698 212237465 227044730 249749203 424474930 443769245 466922423 499498406 887538490 933844846 976292339 1248746015 1952584678 2334612115 2497492030 4669224230 4881461695 9762923390 10739215729 21478431458 53696078645 107392157290