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29965740 = 2235771347
BaseRepresentation
bin111001001001…
…1110110101100
32002101102021020
41302103312230
530132400430
62550134140
7512463450
oct162236654
962342236
1029965740
1115a07782
12a051350
13629250c
143da0660
15296db10
hex1c93dac

29965740 has 48 divisors (see below), whose sum is σ = 95891712. Its totient is φ = 6849216.

The previous prime is 29965721. The next prime is 29965751. The reversal of 29965740 is 4756992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29965692 and 29965701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35254 + ... + 36093.

It is an arithmetic number, because the mean of its divisors is an integer number (1997744).

Almost surely, 229965740 is an apocalyptic number.

29965740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29965740 is an abundant number, since it is smaller than the sum of its proper divisors (65925972).

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

29965740 is a wasteful number, since it uses less digits than its factorization.

29965740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71366 (or 71364 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 29965740 is about 5474.0971858380. The cubic root of 29965740 is about 310.6049235567.

The spelling of 29965740 in words is "twenty-nine million, nine hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 71347 142694 214041 285388 356735 428082 499429 713470 856164 998858 1070205 1426940 1498287 1997716 2140410 2497145 2996574 4280820 4994290 5993148 7491435 9988580 14982870 29965740