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191040320 = 2654114561
BaseRepresentation
bin10110110001100…
…00101101000000
3111022110212001102
423120300231000
5342401242240
630542353532
74506546602
oct1330605500
9438425042
10191040320
1198923469
1253b8b8a8
133076b113
141b52d172
1511b89815
hexb630b40

191040320 has 56 divisors (see below), whose sum is σ = 466042248. Its totient is φ = 74547200.

The previous prime is 191040299. The next prime is 191040329. The reversal of 191040320 is 23040191.

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 177848896 = 3632^2 + 13336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 191040292 and 191040301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191040329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5840 + ... + 20400.

It is an arithmetic number, because the mean of its divisors is an integer number (8322183).

Almost surely, 2191040320 is an apocalyptic number.

191040320 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 191040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233021124).

191040320 is an abundant number, since it is smaller than the sum of its proper divisors (275001928).

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

191040320 is a wasteful number, since it uses less digits than its factorization.

191040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 191040320 is about 13821.7336105136. The cubic root of 191040320 is about 575.9370430162.

The spelling of 191040320 in words is "one hundred ninety-one million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 14561 29122 58244 72805 116488 145610 232976 291220 465952 582440 597001 931904 1164880 1194002 2329760 2388004 2985005 4659520 4776008 5970010 9552016 11940020 19104032 23880040 38208064 47760080 95520160 191040320