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130000000 = 275713
BaseRepresentation
bin1111011111110…
…10010010000000
3100001121200110211
413233322102000
5231240000000
620522203504
73135660514
oct757722200
9301550424
10130000000
1167421a19
1237653594
1320c187a0
14133a0144
15b62d7ba
hex7bfa480

130000000 has 128 divisors (see below), whose sum is σ = 348631920. Its totient is φ = 48000000.

The previous prime is 129999997. The next prime is 130000001. The reversal of 130000000 is 31.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 128867904 + 1132096 = 11352^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (130000001) 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, 9999994 + ... + 10000006.

Almost surely, 2130000000 is an apocalyptic number.

130000000 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 130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174315960).

130000000 is an abundant number, since it is smaller than the sum of its proper divisors (218631920).

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

130000000 is an frugal number, since it uses more digits than its factorization.

130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 130000000 is about 11401.7542509914. The cubic root of 130000000 is about 506.5797019101.

Adding to 130000000 its reverse (31), we get a palindrome (130000031).

The spelling of 130000000 in words is "one hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3125 3200 3250 4000 4160 5000 5200 6250 6500 8000 8125 8320 10000 10400 12500 13000 15625 16000 16250 20000 20800 25000 26000 31250 32500 40000 40625 41600 50000 52000 62500 65000 78125 80000 81250 100000 104000 125000 130000 156250 162500 200000 203125 208000 250000 260000 312500 325000 400000 406250 500000 520000 625000 650000 812500 1000000 1015625 1040000 1250000 1300000 1625000 2000000 2031250 2500000 2600000 3250000 4062500 5000000 5200000 6500000 8125000 10000000 13000000 16250000 26000000 32500000 65000000 130000000