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29136096 = 25321117541
BaseRepresentation
bin110111100100…
…1010011100000
32000211021012200
41233021103200
524424323341
62520253200
7502436613
oct157112340
960737180
1029136096
11154a0420
129911200
1360619c2
143c2617a
152857db6
hex1bc94e0

29136096 has 144 divisors (see below), whose sum is σ = 95881968. Its totient is φ = 8294400.

The previous prime is 29136091. The next prime is 29136119. The reversal of 29136096 is 69063192.

29136096 is a `hidden beast` number, since 291 + 360 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29136096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29136091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53586 + ... + 54126.

It is an arithmetic number, because the mean of its divisors is an integer number (665847).

Almost surely, 229136096 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 29136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47940984).

29136096 is an abundant number, since it is smaller than the sum of its proper divisors (66745872).

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

29136096 is a wasteful number, since it uses less digits than its factorization.

29136096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29136096 is about 5397.7862128839. The cubic root of 29136096 is about 307.7115419258.

It can be divided in two parts, 2913 and 6096, that added together give a palindrome (9009).

The spelling of 29136096 in words is "twenty-nine million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 541 544 561 612 748 792 816 1056 1082 1122 1224 1496 1584 1623 1632 1683 2164 2244 2448 2992 3168 3246 3366 4328 4488 4869 4896 5951 5984 6492 6732 8656 8976 9197 9738 11902 12984 13464 17312 17853 17952 18394 19476 23804 25968 26928 27591 35706 36788 38952 47608 51936 53559 53856 55182 71412 73576 77904 82773 95216 101167 107118 110364 142824 147152 155808 165546 190432 202334 214236 220728 285648 294304 303501 331092 404668 428472 441456 571296 607002 662184 809336 856944 882912 910503 1214004 1324368 1618672 1713888 1821006 2428008 2648736 3237344 3642012 4856016 7284024 9712032 14568048 29136096