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13337190 = 2335471051
BaseRepresentation
bin110010111000…
…001001100110
3221002121012000
4302320021212
511403242230
61153510130
7221235636
oct62701146
927077160
1013337190
11758a479
124572346
1329bc839
141ab26c6
151286b60
hexcb8266

13337190 has 64 divisors (see below), whose sum is σ = 36357120. Its totient is φ = 3477600.

The previous prime is 13337167. The next prime is 13337201. The reversal of 13337190 is 9173331.

It is a super-2 number, since 2×133371902 = 355761274192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (568080).

Almost surely, 213337190 is an apocalyptic number.

13337190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13337190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178560).

13337190 is an abundant number, since it is smaller than the sum of its proper divisors (23019930).

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

13337190 is a wasteful number, since it uses less digits than its factorization.

13337190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13337190 is about 3652.0117743512. The cubic root of 13337190 is about 237.1490810151.

The spelling of 13337190 in words is "thirteen million, three hundred thirty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1051 1269 1410 2102 2115 2538 3153 4230 5255 6306 6345 9459 10510 12690 15765 18918 28377 31530 47295 49397 56754 94590 98794 141885 148191 246985 283770 296382 444573 493970 740955 889146 1333719 1481910 2222865 2667438 4445730 6668595 13337190