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1387131400 = 23527395009
BaseRepresentation
bin101001010101101…
…1111001000001000
310120200010120120001
41102223133020020
510320101201100
6345351012344
746242264604
oct12253371010
93520116501
101387131400
11651aaa396
1232866a0b4
131914c4315
14d2322504
1581ba1d6a
hex52adf208

1387131400 has 48 divisors (see below), whose sum is σ = 3269294100. Its totient is φ = 547246080.

The previous prime is 1387131391. The next prime is 1387131401. The reversal of 1387131400 is 41317831.

It can be written as a sum of positive squares in 6 ways, for example, as 417058084 + 970073316 = 20422^2 + 31146^2 .

It is not an unprimeable number, because it can be changed into a prime (1387131401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32905 + ... + 62104.

Almost surely, 21387131400 is an apocalyptic number.

1387131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1387131400 is an abundant number, since it is smaller than the sum of its proper divisors (1882162700).

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

1387131400 is a wasteful number, since it uses less digits than its factorization.

1387131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95098 (or 95089 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1387131400 is about 37244.2129732929. The cubic root of 1387131400 is about 1115.2507764406.

The spelling of 1387131400 in words is "one billion, three hundred eighty-seven million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 95009 190018 380036 475045 760072 950090 1900180 2375225 3800360 4750450 6935657 9500900 13871314 19001800 27742628 34678285 55485256 69356570 138713140 173391425 277426280 346782850 693565700 1387131400