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371138985 = 32572179901
BaseRepresentation
bin10110000111110…
…010000110101001
3221212100210222100
4112013302012221
51230002421420
6100454444013
712124425600
oct2607620651
9855323870
10371138985
11180553238
12a4363609
135bb77b89
1437410a37
15228b2190
hex161f21a9

371138985 has 72 divisors (see below), whose sum is σ = 792437256. Its totient is φ = 159667200.

The previous prime is 371138983. The next prime is 371138987. The reversal of 371138985 is 589831173.

It is an interprime number because it is at equal distance from previous prime (371138983) and next prime (371138987).

It can be written as a sum of positive squares in 4 ways, for example, as 176703849 + 194435136 = 13293^2 + 13944^2 .

It is not a de Polignac number, because 371138985 - 21 = 371138983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 371138985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371138983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32535 + ... + 42435.

It is an arithmetic number, because the mean of its divisors is an integer number (11006073).

Almost surely, 2371138985 is an apocalyptic number.

371138985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

371138985 is an abundant number, since it is smaller than the sum of its proper divisors (421298271).

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

371138985 is a wasteful number, since it uses less digits than its factorization.

371138985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9933 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 371138985 is about 19264.9678172584. The cubic root of 371138985 is about 718.6413324309.

The spelling of 371138985 in words is "three hundred seventy-one million, one hundred thirty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1071 1785 2205 2499 4165 5355 7497 9901 12495 29703 37485 49505 69307 89109 148515 168317 207921 346535 445545 485149 504951 623763 841585 1039605 1178219 1455447 1514853 2425745 2524755 3118815 3534657 4366341 5891095 7277235 7574265 8247533 10603971 17673285 21831705 24742599 41237665 53019855 74227797 123712995 371138985