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202974640 = 24511230653
BaseRepresentation
bin11000001100100…
…10010110110000
3112010221011212021
430012102112300
5403430142030
632050241224
75013153541
oct1406222660
9463834767
10202974640
11a4634940
1257b86214
133308924b
141cd584c8
1512c4597a
hexc1925b0

202974640 has 40 divisors (see below), whose sum is σ = 514819728. Its totient is φ = 73808640.

The previous prime is 202974617. The next prime is 202974649. The reversal of 202974640 is 46479202.

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

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 202974596 and 202974605.

It is not an unprimeable number, because it can be changed into a prime (202974649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114447 + ... + 116206.

Almost surely, 2202974640 is an apocalyptic number.

202974640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202974640 is an abundant number, since it is smaller than the sum of its proper divisors (311845088).

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

202974640 is a wasteful number, since it uses less digits than its factorization.

202974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230677 (or 230671 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 202974640 is about 14246.9168594472. The cubic root of 202974640 is about 587.6885913332.

The spelling of 202974640 in words is "two hundred two million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 230653 461306 922612 1153265 1845224 2306530 2537183 3690448 4613060 5074366 9226120 10148732 12685915 18452240 20297464 25371830 40594928 50743660 101487320 202974640