Search a number
-
+
130756032 = 2634112293
BaseRepresentation
bin1111100101100…
…10110111000000
3100010001002120000
413302302313000
5231433143112
620550320000
73145256631
oct762626700
9303032500
10130756032
1167898a40
1237959000
1321121944
1413519888
15b72c7dc
hex7cb2dc0

130756032 has 140 divisors (see below), whose sum is σ = 423022776. Its totient is φ = 39605760.

The previous prime is 130756013. The next prime is 130756051. The reversal of 130756032 is 230657031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130756013) and next prime (130756051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130755987 and 130756005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55878 + ... + 58170.

Almost surely, 2130756032 is an apocalyptic number.

130756032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211511388).

130756032 is an abundant number, since it is smaller than the sum of its proper divisors (292266744).

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

130756032 is a wasteful number, since it uses less digits than its factorization.

130756032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130756032 is about 11434.8603839312. The cubic root of 130756032 is about 507.5598311690.

Subtracting 130756032 from its reverse (230657031), we obtain a palindrome (99900999).

The spelling of 130756032 in words is "one hundred thirty million, seven hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2293 2376 2592 3168 3564 4586 4752 5184 6336 6879 7128 9172 9504 13758 14256 18344 19008 20637 25223 27516 28512 36688 41274 50446 55032 57024 61911 73376 75669 82548 100892 110064 123822 146752 151338 165096 185733 201784 220128 227007 247644 302676 330192 371466 403568 440256 454014 495288 605352 660384 681021 742932 807136 908028 990576 1210704 1320768 1362042 1485864 1614272 1816056 1981152 2043063 2421408 2724084 2971728 3632112 3962304 4086126 4842816 5448168 5943456 7264224 8172252 10896336 11886912 14528448 16344504 21792672 32689008 43585344 65378016 130756032