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130182780 = 2235713113211
BaseRepresentation
bin1111100001001…
…10111001111100
3100001221222012110
413300212321330
5231311322110
620530134020
73140351430
oct760467174
9301858173
10130182780
1167537282
1237721310
1320c80a40
141340a9c0
15b667a20
hex7c26e7c

130182780 has 192 divisors, whose sum is σ = 454745088. Its totient is φ = 27095040.

The previous prime is 130182779. The next prime is 130182781. The reversal of 130182780 is 87281031.

It is a happy number.

130182780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130182779) and next prime (130182781).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130182781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616875 + ... + 617085.

It is an arithmetic number, because the mean of its divisors is an integer number (2368464).

Almost surely, 2130182780 is an apocalyptic number.

130182780 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 130182780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227372544).

130182780 is an abundant number, since it is smaller than the sum of its proper divisors (324562308).

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

130182780 is a wasteful number, since it uses less digits than its factorization.

130182780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 130182780 is about 11409.7668687840. The cubic root of 130182780 is about 506.8170077478.

The spelling of 130182780 in words is "one hundred thirty million, one hundred eighty-two thousand, seven hundred eighty".