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29996568 = 2334717389
BaseRepresentation
bin111001001101…
…1011000011000
32002102222120000
41302123120120
530134342233
62550533000
7512652360
oct162333030
962388500
1029996568
1115a28958
12a067160
1362a3564
143dab9a0
152977d13
hex1c9b618

29996568 has 160 divisors (see below), whose sum is σ = 101930400. Its totient is φ = 8045568.

The previous prime is 29996563. The next prime is 29996581. The reversal of 29996568 is 86569992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29996563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76918 + ... + 77306.

It is an arithmetic number, because the mean of its divisors is an integer number (637065).

Almost surely, 229996568 is an apocalyptic number.

29996568 is a gapful number since it is divisible by the number (28) 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 29996568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965200).

29996568 is an abundant number, since it is smaller than the sum of its proper divisors (71933832).

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

29996568 is a wasteful number, since it uses less digits than its factorization.

29996568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 29996568 is about 5476.9122687880. The cubic root of 29996568 is about 310.7114012302.

The spelling of 29996568 in words is "twenty-nine million, nine hundred ninety-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 389 408 459 476 504 567 612 648 714 756 778 918 952 1071 1134 1167 1224 1377 1428 1512 1556 1836 2142 2268 2334 2723 2754 2856 3112 3213 3501 3672 4284 4536 4668 5446 5508 6426 6613 7002 8169 8568 9336 9639 10503 10892 11016 12852 13226 14004 16338 19278 19839 21006 21784 24507 25704 26452 28008 31509 32676 38556 39678 42012 46291 49014 52904 59517 63018 65352 73521 77112 79356 84024 92582 98028 119034 126036 138873 147042 158712 178551 185164 196056 220563 238068 252072 277746 294084 357102 370328 416619 441126 476136 535653 555492 588168 714204 833238 882252 1071306 1110984 1249857 1428408 1666476 1764504 2142612 2499714 3332952 3749571 4285224 4999428 7499142 9998856 14998284 29996568