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29320272 = 2433671013
BaseRepresentation
bin110111111011…
…0010001010000
32001011121212000
41233312101100
530001222042
62524234000
7504134562
oct157662120
961147760
1029320272
1115606833
12999b900
1360c7797
143c73332
15289274c
hex1bf6450

29320272 has 80 divisors (see below), whose sum is σ = 85500480. Its totient is φ = 9618048.

The previous prime is 29320271. The next prime is 29320273. The reversal of 29320272 is 27202392.

It is an interprime number because it is at equal distance from previous prime (29320271) and next prime (29320273).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29320271) by changing a digit.

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, 28438 + ... + 29450.

It is an arithmetic number, because the mean of its divisors is an integer number (1068756).

Almost surely, 229320272 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 29320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42750240).

29320272 is an abundant number, since it is smaller than the sum of its proper divisors (56180208).

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

29320272 is a wasteful number, since it uses less digits than its factorization.

29320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29320272 is about 5414.8196645872. The cubic root of 29320272 is about 308.3585524701.

It can be divided in two parts, 29320 and 272, that added together give a palindrome (29592).

The spelling of 29320272 in words is "twenty-nine million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1013 1072 1206 1608 1809 2026 2412 3039 3216 3618 4052 4824 6078 7236 8104 9117 9648 12156 14472 16208 18234 24312 27351 28944 36468 48624 54702 67871 72936 109404 135742 145872 203613 218808 271484 407226 437616 542968 610839 814452 1085936 1221678 1628904 1832517 2443356 3257808 3665034 4886712 7330068 9773424 14660136 29320272