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72936020 = 22515124151
BaseRepresentation
bin1000101100011…
…10101001010100
312002020112102002
410112032221110
5122132423040
611123134432
71543642313
oct426165124
9162215362
1072936020
1138196a03
1220514418
1312159011
14998827a
15660aa15
hex458ea54

72936020 has 24 divisors (see below), whose sum is σ = 154186368. Its totient is φ = 28980000.

The previous prime is 72935983. The next prime is 72936023. The reversal of 72936020 is 2063927.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72936023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9056 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (6424432).

Almost surely, 272936020 is an apocalyptic number.

It is an amenable number.

72936020 is an abundant number, since it is smaller than the sum of its proper divisors (81250348).

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

72936020 is a wasteful number, since it uses less digits than its factorization.

72936020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24309 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 72936020 is about 8540.2587782807. The cubic root of 72936020 is about 417.8117861779.

Adding to 72936020 its reverse (2063927), we get a palindrome (74999947).

The spelling of 72936020 in words is "seventy-two million, nine hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 24151 48302 96604 120755 241510 483020 3646801 7293602 14587204 18234005 36468010 72936020