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130909032 = 23323189659
BaseRepresentation
bin1111100110110…
…00001101101000
3100010022212102200
413303120031220
5232003042112
620553500200
73146464662
oct763301550
9303285380
10130909032
1167992991
1237a11660
1321176487
1413559532
15b75ccdc
hex7cd8368

130909032 has 96 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 41690880.

The previous prime is 130909007. The next prime is 130909033. The reversal of 130909032 is 230909031.

It is a junction number, because it is equal to n+sod(n) for n = 130908987 and 130909005.

It is not an unprimeable number, because it can be changed into a prime (130909033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198319 + ... + 198977.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2130909032 is an apocalyptic number.

130909032 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 130909032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

130909032 is an abundant number, since it is smaller than the sum of its proper divisors (239746968).

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

130909032 is a wasteful number, since it uses less digits than its factorization.

130909032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 130909032 is about 11441.5484965978. The cubic root of 130909032 is about 507.7577223192.

Subtracting 130909032 from its reverse (230909031), we obtain a palindrome (99999999).

It can be divided in two parts, 13090 and 9032, that added together give a palindrome (22122).

The spelling of 130909032 in words is "one hundred thirty million, nine hundred nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 89 93 124 178 186 248 267 279 356 372 534 558 659 712 744 801 1068 1116 1318 1602 1977 2136 2232 2636 2759 3204 3954 5272 5518 5931 6408 7908 8277 11036 11862 15816 16554 20429 22072 23724 24831 33108 40858 47448 49662 58651 61287 66216 81716 99324 117302 122574 163432 175953 183861 198648 234604 245148 351906 367722 469208 490296 527859 703812 735444 1055718 1407624 1470888 1818181 2111436 3636362 4222872 5454543 7272724 10909086 14545448 16363629 21818172 32727258 43636344 65454516 130909032