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130904284 = 22721722311
BaseRepresentation
bin1111100110101…
…11000011011100
3100010022121220211
413303113003130
5232002414114
620553422204
73146445100
oct763270334
9303277824
10130904284
116798a365
1237a0a964
1321174274
1413557900
15b75b6c4
hex7cd70dc

130904284 has 54 divisors (see below), whose sum is σ = 283203816. Its totient is φ = 52778880.

The previous prime is 130904251. The next prime is 130904297. The reversal of 130904284 is 482409031.

130904284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55489 + ... + 57799.

Almost surely, 2130904284 is an apocalyptic number.

130904284 is a gapful number since it is divisible by the number (14) 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 130904284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141601908).

130904284 is an abundant number, since it is smaller than the sum of its proper divisors (152299532).

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

130904284 is a wasteful number, since it uses less digits than its factorization.

130904284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 130904284 is about 11441.3410053193. The cubic root of 130904284 is about 507.7515835454.

The spelling of 130904284 in words is "one hundred thirty million, nine hundred four thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 2311 3332 4046 4622 8092 9244 14161 16177 28322 32354 39287 56644 64708 78574 113239 157148 226478 275009 452956 550018 667879 1100036 1335758 1925063 2671516 3850126 4675153 7700252 9350306 18700612 32726071 65452142 130904284