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130340040 = 23357314879
BaseRepresentation
bin1111100010011…
…01010011001000
3100002020221220220
413301031103020
5231331340130
620533350040
73141605055
oct761152310
9302227826
10130340040
1167634446
1237798320
13210074ac
141344c02c
15b699410
hex7c4d4c8

130340040 has 64 divisors (see below), whose sum is σ = 396403200. Its totient is φ = 34278912.

The previous prime is 130340039. The next prime is 130340047. The reversal of 130340040 is 40043031.

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

It is not an unprimeable number, because it can be changed into a prime (130340047) 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 15 ways as a sum of consecutive naturals, for example, 1321 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (6193800).

Almost surely, 2130340040 is an apocalyptic number.

130340040 is a gapful number since it is divisible by the number (10) 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 130340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198201600).

130340040 is an abundant number, since it is smaller than the sum of its proper divisors (266063160).

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

130340040 is a wasteful number, since it uses less digits than its factorization.

130340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966 (or 14962 counting only the distinct ones).

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

The square root of 130340040 is about 11416.6562530366. The cubic root of 130340040 is about 507.0210029074.

Adding to 130340040 its reverse (40043031), we get a palindrome (170383071).

The spelling of 130340040 in words is "one hundred thirty million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 14879 29758 44637 59516 74395 89274 119032 148790 178548 223185 297580 357096 446370 595160 892740 1086167 1785480 2172334 3258501 4344668 5430835 6517002 8689336 10861670 13034004 16292505 21723340 26068008 32585010 43446680 65170020 130340040