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130964946 = 23749091
BaseRepresentation
bin1111100111001…
…01110111010010
3100010102201010120
413303211313102
5232011334241
620555011110
73150120000
oct763456722
9303381116
10130964946
1167a209a2
1237a39a96
1321195a68
1413571a70
15b76e666
hex7ce5dd2

130964946 has 40 divisors (see below), whose sum is σ = 305600304. Its totient is φ = 37414440.

The previous prime is 130964909. The next prime is 130964963. The reversal of 130964946 is 649469031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130964898 and 130964907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9861 + ... + 18951.

Almost surely, 2130964946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130964946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152800152).

130964946 is an abundant number, since it is smaller than the sum of its proper divisors (174635358).

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

130964946 is an frugal number, since it uses more digits than its factorization.

130964946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 130964946 is about 11443.9916987037. The cubic root of 130964946 is about 507.8300033623.

The spelling of 130964946 in words is "one hundred thirty million, nine hundred sixty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 9091 14406 18182 27273 54546 63637 127274 190911 381822 445459 890918 1336377 2672754 3118213 6236426 9354639 18709278 21827491 43654982 65482473 130964946