Search a number
-
+
151049430 = 232571912619
BaseRepresentation
bin10010000000011…
…01010011010110
3101112020002212100
421000031103112
5302132040210
622553302530
73512620230
oct1100152326
9345202770
10151049430
1178299744
1242704a46
13253a877c
14160bd250
15d3da5c0
hex900d4d6

151049430 has 96 divisors (see below), whose sum is σ = 472492800. Its totient is φ = 32705856.

The previous prime is 151049413. The next prime is 151049461. The reversal of 151049430 is 34940151.

It is a junction number, because it is equal to n+sod(n) for n = 151049394 and 151049403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5661 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (4921800).

Almost surely, 2151049430 is an apocalyptic number.

151049430 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 151049430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236246400).

151049430 is an abundant number, since it is smaller than the sum of its proper divisors (321443370).

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

151049430 is a wasteful number, since it uses less digits than its factorization.

151049430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151049430 is about 12290.2168410488. The cubic root of 151049430 is about 532.5655014314.

Adding to 151049430 its reverse (34940151), we get a palindrome (185989581).

The spelling of 151049430 in words is "one hundred fifty-one million, forty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 12619 25238 37857 63095 75714 88333 113571 126190 176666 189285 227142 239761 264999 378570 441665 479522 529998 567855 719283 794997 883330 1135710 1198805 1324995 1438566 1589994 1678327 2157849 2397610 2649990 3356654 3596415 3974985 4315698 5034981 7192830 7949970 8391635 10069962 10789245 15104943 16783270 21578490 25174905 30209886 50349810 75524715 151049430