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29503940 = 22523312069
BaseRepresentation
bin111000010001…
…1000111000100
32001111221210112
41300203013010
530023111230
62532212152
7505531214
oct160430704
961457715
1029503940
1115721824
129a6a058
13616026b
143cc0244
1528cbd95
hex1c231c4

29503940 has 48 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 10919040.

The previous prime is 29503907. The next prime is 29503949. The reversal of 29503940 is 4930592.

It is a junction number, because it is equal to n+sod(n) for n = 29503897 and 29503906.

It is not an unprimeable number, because it can be changed into a prime (29503949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13226 + ... + 15294.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 229503940 is an apocalyptic number.

29503940 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 29503940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

29503940 is an abundant number, since it is smaller than the sum of its proper divisors (37265980).

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

29503940 is a wasteful number, since it uses less digits than its factorization.

29503940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 29503940 is about 5431.7529398897. The cubic root of 29503940 is about 309.0010857270.

The spelling of 29503940 in words is "twenty-nine million, five hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2069 2852 3565 4138 7130 8276 10345 14260 20690 41380 47587 64139 95174 128278 190348 237935 256556 320695 475870 641390 951740 1282780 1475197 2950394 5900788 7375985 14751970 29503940