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29420880 = 2435177211
BaseRepresentation
bin111000000111…
…0110101010000
32001100201212020
41300032311100
530012432010
62530331440
7505034106
oct160166520
961321766
1029420880
1115675385
129a29b80
136131508
143c9bc76
1528b2470
hex1c0ed50

29420880 has 80 divisors (see below), whose sum is σ = 96583104. Its totient is φ = 7383040.

The previous prime is 29420869. The next prime is 29420893. The reversal of 29420880 is 8802492.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 7685.

Almost surely, 229420880 is an apocalyptic number.

29420880 is a gapful number since it is divisible by the number (20) 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 29420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48291552).

29420880 is an abundant number, since it is smaller than the sum of its proper divisors (67162224).

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

29420880 is a wasteful number, since it uses less digits than its factorization.

29420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 29420880 is about 5424.1017689568. The cubic root of 29420880 is about 308.7108447999.

The spelling of 29420880 in words is "twenty-nine million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 7211 14422 21633 28844 36055 43266 57688 72110 86532 108165 115376 122587 144220 173064 216330 245174 288440 346128 367761 432660 490348 576880 612935 735522 865320 980696 1225870 1471044 1730640 1838805 1961392 2451740 2942088 3677610 4903480 5884176 7355220 9806960 14710440 29420880