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130840192 = 277223907
BaseRepresentation
bin1111100110001…
…11011010000000
3100010012101000001
413303013122000
5231443341232
620552205344
73146060200
oct763073200
9303171001
10130840192
116794619a
1237999854
1321151042
141353c400
15b7476e7
hex7cc7680

130840192 has 96 divisors (see below), whose sum is σ = 316746720. Its totient is φ = 53577216.

The previous prime is 130840183. The next prime is 130840217. The reversal of 130840192 is 291048031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 130840192.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 143803 + ... + 144709.

It is an arithmetic number, because the mean of its divisors is an integer number (3299445).

Almost surely, 2130840192 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 130840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158373360).

130840192 is an abundant number, since it is smaller than the sum of its proper divisors (185906528).

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

130840192 is an equidigital number, since it uses as much as digits as its factorization.

130840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 130840192 is about 11438.5397669458. The cubic root of 130840192 is about 507.6687033268.

The spelling of 130840192 in words is "one hundred thirty million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 322 368 392 448 644 736 784 896 907 1127 1288 1472 1568 1814 2254 2576 2944 3136 3628 4508 5152 6272 6349 7256 9016 10304 12698 14512 18032 20608 20861 25396 29024 36064 41722 44443 50792 58048 72128 83444 88886 101584 116096 144256 146027 166888 177772 203168 292054 333776 355544 406336 584108 667552 711088 812672 1022189 1168216 1335104 1422176 2044378 2336432 2670208 2844352 4088756 4672864 5688704 8177512 9345728 16355024 18691456 32710048 65420096 130840192