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29939440 = 2451919697
BaseRepresentation
bin111001000110…
…1011011110000
32002100002012011
41302031123300
530131030230
62545412304
7512323666
oct162153360
962302164
1029939440
1115999a43
12a03a094
13628355b
143d94c36
152965e2a
hex1c8d6f0

29939440 has 40 divisors (see below), whose sum is σ = 73276560. Its totient is φ = 11344896.

The previous prime is 29939411. The next prime is 29939443. The reversal of 29939440 is 4493992.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 29939393 and 29939402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29939443) 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 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 11368.

It is an arithmetic number, because the mean of its divisors is an integer number (1831914).

Almost surely, 229939440 is an apocalyptic number.

29939440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29939440 is an abundant number, since it is smaller than the sum of its proper divisors (43337120).

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

29939440 is a wasteful number, since it uses less digits than its factorization.

29939440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19729 (or 19723 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 29939440 is about 5471.6944359129. The cubic root of 29939440 is about 310.5140275254.

The spelling of 29939440 in words is "twenty-nine million, nine hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 19697 39394 78788 98485 157576 196970 315152 374243 393940 748486 787880 1496972 1575760 1871215 2993944 3742430 5987888 7484860 14969720 29939440