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130997000 = 23531011297
BaseRepresentation
bin1111100111011…
…01101100001000
3100010111100002202
413303231230020
5232013401000
620555415332
73150312311
oct763555410
9303440082
10130997000
1167a42a92
1237a54548
13211a7524
141357d608
15b778dd5
hex7cedb08

130997000 has 64 divisors (see below), whose sum is σ = 309806640. Its totient is φ = 51840000.

The previous prime is 130996961. The next prime is 130997003. The reversal of 130997000 is 799031.

It can be written as a sum of positive squares in 8 ways, for example, as 72352036 + 58644964 = 8506^2 + 7658^2 .

It is not an unprimeable number, because it can be changed into a prime (130997003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100352 + ... + 101648.

Almost surely, 2130997000 is an apocalyptic number.

130997000 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 130997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154903320).

130997000 is an abundant number, since it is smaller than the sum of its proper divisors (178809640).

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

130997000 is a wasteful number, since it uses less digits than its factorization.

130997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 130997000 is about 11445.3920859008. The cubic root of 130997000 is about 507.8714308729.

The spelling of 130997000 in words is "one hundred thirty million, nine hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 1297 2020 2525 2594 4040 5050 5188 6485 10100 10376 12625 12970 20200 25250 25940 32425 50500 51880 64850 101000 129700 130997 162125 259400 261994 324250 523988 648500 654985 1047976 1297000 1309970 2619940 3274925 5239880 6549850 13099700 16374625 26199400 32749250 65498500 130997000