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191143104 = 26317157373
BaseRepresentation
bin10110110010010…
…01110011000000
3111022200002001020
423121021303000
5342413034404
630544505440
74510455345
oct1331116300
9438602036
10191143104
1198993709
125401b280
13307a5b39
141b5587cc
1511ba9ed9
hexb649cc0

191143104 has 112 divisors (see below), whose sum is σ = 540337248. Its totient is φ = 59424768.

The previous prime is 191143093. The next prime is 191143111. The reversal of 191143104 is 401341191.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512262 + ... + 512634.

Almost surely, 2191143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270168624).

191143104 is an abundant number, since it is smaller than the sum of its proper divisors (349194144).

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

191143104 is a wasteful number, since it uses less digits than its factorization.

191143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 191143104 is about 13825.4513127059. The cubic root of 191143104 is about 576.0403135365.

Adding to 191143104 its reverse (401341191), we get a palindrome (592484295).

The spelling of 191143104 in words is "one hundred ninety-one million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 157 192 204 272 314 373 408 471 544 628 746 816 942 1088 1119 1256 1492 1632 1884 2238 2512 2669 2984 3264 3768 4476 5024 5338 5968 6341 7536 8007 8952 10048 10676 11936 12682 15072 16014 17904 19023 21352 23872 25364 30144 32028 35808 38046 42704 50728 58561 64056 71616 76092 85408 101456 117122 128112 152184 170816 175683 202912 234244 256224 304368 351366 405824 468488 512448 608736 702732 936976 995537 1217472 1405464 1873952 1991074 2810928 2986611 3747904 3982148 5621856 5973222 7964296 11243712 11946444 15928592 23892888 31857184 47785776 63714368 95571552 191143104