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130040430 = 2351331973
BaseRepresentation
bin1111100000001…
…00001001101110
3100001200201221020
413300010021232
5231242243210
620523115010
73136216422
oct760041156
9301621836
10130040430
116744a333
1237672a66
1320c31000
14133b0b82
15b63a770
hex7c0426e

130040430 has 64 divisors (see below), whose sum is σ = 338264640. Its totient is φ = 31993728.

The previous prime is 130040423. The next prime is 130040453. The reversal of 130040430 is 34040031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64924 + ... + 66896.

It is an arithmetic number, because the mean of its divisors is an integer number (5285385).

Almost surely, 2130040430 is an apocalyptic number.

130040430 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 130040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169132320).

130040430 is an abundant number, since it is smaller than the sum of its proper divisors (208224210).

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

130040430 is a wasteful number, since it uses less digits than its factorization.

130040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130040430 is about 11403.5270859502. The cubic root of 130040430 is about 506.6322118960.

Adding to 130040430 its reverse (34040031), we get a palindrome (164080461).

The spelling of 130040430 in words is "one hundred thirty million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 1973 2197 2535 3946 4394 5070 5919 6591 9865 10985 11838 13182 19730 21970 25649 29595 32955 51298 59190 65910 76947 128245 153894 256490 333437 384735 666874 769470 1000311 1667185 2000622 3334370 4334681 5001555 8669362 10003110 13004043 21673405 26008086 43346810 65020215 130040430