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1296875000 = 235983
BaseRepresentation
bin100110101001100…
…1011110111111000
310100101022002001102
41031103023313320
510124000000000
6332404310532
744065153451
oct11523136770
93311262042
101296875000
11606063423
123023a2448
131788b2775
14c434a128
1578cc43d5
hex4d4cbdf8

1296875000 has 80 divisors (see below), whose sum is σ = 3076171560. Its totient is φ = 512500000.

The previous prime is 1296874993. The next prime is 1296875011. The reversal of 1296875000 is 5786921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15624959 + ... + 15625041.

Almost surely, 21296875000 is an apocalyptic number.

1296875000 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 1296875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538085780).

1296875000 is an abundant number, since it is smaller than the sum of its proper divisors (1779296560).

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

1296875000 is an frugal number, since it uses more digits than its factorization.

1296875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1296875000 is about 36012.1507272198. The cubic root of 1296875000 is about 1090.5176678637.

The spelling of 1296875000 in words is "one billion, two hundred ninety-six million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 625 664 830 1000 1250 1660 2075 2500 3125 3320 4150 5000 6250 8300 10375 12500 15625 16600 20750 25000 31250 41500 51875 62500 78125 83000 103750 125000 156250 207500 259375 312500 390625 415000 518750 625000 781250 1037500 1296875 1562500 1953125 2075000 2593750 3125000 3906250 5187500 6484375 7812500 10375000 12968750 15625000 25937500 32421875 51875000 64843750 129687500 162109375 259375000 324218750 648437500 1296875000