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191311040 = 2655910133
BaseRepresentation
bin10110110011100…
…10110011000000
3111022222121102002
423121302303000
5342433423130
630552243132
74512055064
oct1331626300
9438877362
10191311040
1198a988a8
12540a04a8
13308343cb
141b59daa4
1511bdeb45
hexb672cc0

191311040 has 56 divisors (see below), whose sum is σ = 463326480. Its totient is φ = 75219968.

The previous prime is 191311039. The next prime is 191311093. The reversal of 191311040 is 40113191.

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

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 7 ways as a sum of consecutive naturals, for example, 13814 + ... + 23946.

Almost surely, 2191311040 is an apocalyptic number.

191311040 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 191311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231663240).

191311040 is an abundant number, since it is smaller than the sum of its proper divisors (272015440).

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

191311040 is a wasteful number, since it uses less digits than its factorization.

191311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 191311040 is about 13831.5234157341. The cubic root of 191311040 is about 576.2089648192.

The spelling of 191311040 in words is "one hundred ninety-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 10133 18880 20266 40532 50665 81064 101330 162128 202660 324256 405320 597847 648512 810640 1195694 1621280 2391388 2989235 3242560 4782776 5978470 9565552 11956940 19131104 23913880 38262208 47827760 95655520 191311040