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127690000 = 24541132
BaseRepresentation
bin1111001110001…
…10010100010000
322220021022202021
413213012110100
5230142040000
620400501224
73110230024
oct747062420
9286238667
10127690000
1166094429
123691a814
13205ba219
1412d5c384
15b32411a
hex79c6510

127690000 has 75 divisors (see below), whose sum is σ = 311910313. Its totient is φ = 50624000.

The previous prime is 127689973. The next prime is 127690033. The reversal of 127690000 is 96721.

The square root of 127690000 is 11300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 124813584 + 2876416 = 11172^2 + 1696^2 .

It is a super-2 number, since 2×1276900002 = 32609472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1129944 + ... + 1130056.

Almost surely, 2127690000 is an apocalyptic number.

127690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127690000 is the 11300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127690000

127690000 is an abundant number, since it is smaller than the sum of its proper divisors (184220313).

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

127690000 is an frugal number, since it uses more digits than its factorization.

127690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 127690000 is about 503.5612415634.

Multiplying 127690000 by its sum of digits (25), we get a square (3192250000 = 565002).

127690000 divided by its sum of digits (25) gives a square (5107600 = 22602).

Multiplying 127690000 by its reverse (96721), we get a square (12350304490000 = 35143002).

The spelling of 127690000 in words is "one hundred twenty-seven million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2500 2825 4520 5000 5650 9040 10000 11300 12769 14125 22600 25538 28250 45200 51076 56500 63845 70625 102152 113000 127690 141250 204304 226000 255380 282500 319225 510760 565000 638450 1021520 1130000 1276900 1596125 2553800 3192250 5107600 6384500 7980625 12769000 15961250 25538000 31922500 63845000 127690000