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36840940 = 225232832
BaseRepresentation
bin1000110010001…
…0010111101100
32120022201021021
42030202113230
533412402230
63353343524
7625066663
oct214422754
976281237
1036840940
1119883164
1210407ba4
13782b996
144c6ddda
15337ac7a
hex23225ec

36840940 has 36 divisors (see below), whose sum is σ = 81015984. Its totient is φ = 14045856.

The previous prime is 36840929. The next prime is 36840949. The reversal of 36840940 is 4904863.

It is a junction number, because it is equal to n+sod(n) for n = 36840896 and 36840905.

It is not an unprimeable number, because it can be changed into a prime (36840949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130039 + ... + 130321.

It is an arithmetic number, because the mean of its divisors is an integer number (2250444).

Almost surely, 236840940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36840940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40507992).

36840940 is an abundant number, since it is smaller than the sum of its proper divisors (44175044).

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

36840940 is a wasteful number, since it uses less digits than its factorization.

36840940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 36840940 is about 6069.6737968362. The cubic root of 36840940 is about 332.7440008981.

It can be divided in two parts, 368409 and 40, that added together give a square (368449 = 6072).

The spelling of 36840940 in words is "thirty-six million, eight hundred forty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 283 460 566 1132 1415 2830 5660 6509 13018 26036 32545 65090 80089 130180 160178 320356 400445 800890 1601780 1842047 3684094 7368188 9210235 18420470 36840940