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29070272 = 2671117347
BaseRepresentation
bin110111011100…
…1001111000000
32000200220220202
41232321033000
524420222042
62515024332
7502043660
oct156711700
960626822
1029070272
1115455a20
12989b0a8
13603aa5a
143c0a1a0
152843632
hex1bb93c0

29070272 has 112 divisors (see below), whose sum is σ = 76370688. Its totient is φ = 10629120.

The previous prime is 29070269. The next prime is 29070373. The reversal of 29070272 is 27207092.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 83603 + ... + 83949.

Almost surely, 229070272 is an apocalyptic number.

29070272 is a gapful number since it is divisible by the number (22) 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 29070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185344).

29070272 is an abundant number, since it is smaller than the sum of its proper divisors (47300416).

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

29070272 is a wasteful number, since it uses less digits than its factorization.

29070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 29070272 is about 5391.6854507658. The cubic root of 29070272 is about 307.4796408404.

The spelling of 29070272 in words is "twenty-nine million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 347 352 374 448 476 544 616 694 704 748 952 1088 1232 1309 1388 1496 1904 2429 2464 2618 2776 2992 3808 3817 4858 4928 5236 5552 5899 5984 7616 7634 9716 10472 11104 11798 11968 15268 19432 20944 22208 23596 26719 30536 38864 41293 41888 47192 53438 61072 64889 77728 82586 83776 94384 106876 122144 129778 155456 165172 188768 213752 244288 259556 330344 377536 427504 454223 519112 660688 855008 908446 1038224 1321376 1710016 1816892 2076448 2642752 3633784 4152896 7267568 14535136 29070272