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29328240 = 2435122201
BaseRepresentation
bin110111111100…
…0001101110000
32001012000210010
41233320031300
530002000430
62524334520
7504200034
oct157701560
961160703
1029328240
1115611817
1299a4440
1360cb2b6
143c761c4
152894cb0
hex1bf8370

29328240 has 40 divisors (see below), whose sum is σ = 90918288. Its totient is φ = 7820800.

The previous prime is 29328227. The next prime is 29328253. The reversal of 29328240 is 4282392.

It is an interprime number because it is at equal distance from previous prime (29328227) and next prime (29328253).

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

It is a super-2 number, since 2×293282402 = 1720291322995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29328198 and 29328207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60861 + ... + 61340.

Almost surely, 229328240 is an apocalyptic number.

29328240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29328240 is an abundant number, since it is smaller than the sum of its proper divisors (61590048).

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

29328240 is a wasteful number, since it uses less digits than its factorization.

29328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122217 (or 122211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 29328240 is about 5415.5553731820. Note that the first 3 decimals coincide. The cubic root of 29328240 is about 308.3864828433.

The spelling of 29328240 in words is "twenty-nine million, three hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 122201 244402 366603 488804 611005 733206 977608 1222010 1466412 1833015 1955216 2444020 2932824 3666030 4888040 5865648 7332060 9776080 14664120 29328240