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29242320 = 2435121843
BaseRepresentation
bin110111110001…
…1001111010000
32001000122220220
41233203033100
524441223240
62522433040
7503361402
oct157431720
961018826
1029242320
1115563208
129962780
13609b163
143c52b72
1528795d0
hex1be33d0

29242320 has 40 divisors (see below), whose sum is σ = 90651936. Its totient is φ = 7797888.

The previous prime is 29242313. The next prime is 29242327. The reversal of 29242320 is 2324292.

It is an interprime number because it is at equal distance from previous prime (29242313) and next prime (29242327).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×292423202 = 1710226557964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29242327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60682 + ... + 61161.

Almost surely, 229242320 is an apocalyptic number.

29242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29242320 is an abundant number, since it is smaller than the sum of its proper divisors (61409616).

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

29242320 is a wasteful number, since it uses less digits than its factorization.

29242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121859 (or 121853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 29242320 is about 5407.6168503325. The cubic root of 29242320 is about 308.0850386427.

The spelling of 29242320 in words is "twenty-nine million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 121843 243686 365529 487372 609215 731058 974744 1218430 1462116 1827645 1949488 2436860 2924232 3655290 4873720 5848464 7310580 9747440 14621160 29242320