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130921184 = 2531271487
BaseRepresentation
bin1111100110110…
…11001011100000
3100010100111002202
413303123023200
5232003434214
620554032332
73146545262
oct763331340
9303314082
10130921184
11679a1029
1237a186a8
132117bb74
141355db32
15b7616de
hex7cdb2e0

130921184 has 48 divisors (see below), whose sum is σ = 267595776. Its totient is φ = 62985600.

The previous prime is 130921171. The next prime is 130921187. The reversal of 130921184 is 481129031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130921187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268589 + ... + 269075.

It is an arithmetic number, because the mean of its divisors is an integer number (5574912).

Almost surely, 2130921184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130921184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133797888).

130921184 is an abundant number, since it is smaller than the sum of its proper divisors (136674592).

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

130921184 is a wasteful number, since it uses less digits than its factorization.

130921184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 130921184 is about 11442.0795312740. The cubic root of 130921184 is about 507.7734331805.

The spelling of 130921184 in words is "one hundred thirty million, nine hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 271 487 496 542 974 992 1084 1948 2168 3896 4336 7792 8401 8672 15097 15584 16802 30194 33604 60388 67208 120776 131977 134416 241552 263954 268832 483104 527908 1055816 2111632 4091287 4223264 8182574 16365148 32730296 65460592 130921184