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191138420 = 225112929959
BaseRepresentation
bin10110110010010…
…00101001110100
3111022122211121202
423121020221310
5342412412140
630544432032
74510435604
oct1331105164
9438584552
10191138420
1198990140
1254018618
13307a3975
141b556c04
1511ba8915
hexb648a74

191138420 has 48 divisors (see below), whose sum is σ = 452995200. Its totient is φ = 67105920.

The previous prime is 191138419. The next prime is 191138473. The reversal of 191138420 is 24831191.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8600 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (9437400).

Almost surely, 2191138420 is an apocalyptic number.

191138420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191138420 is an abundant number, since it is smaller than the sum of its proper divisors (261856780).

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

191138420 is a wasteful number, since it uses less digits than its factorization.

191138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30008 (or 30006 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 191138420 is about 13825.2819139430. The cubic root of 191138420 is about 576.0356081703.

The spelling of 191138420 in words is "one hundred ninety-one million, one hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 29959 59918 119836 149795 299590 329549 599180 659098 868811 1318196 1647745 1737622 3295490 3475244 4344055 6590980 8688110 9556921 17376220 19113842 38227684 47784605 95569210 191138420