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19720240 = 245534651
BaseRepresentation
bin100101100111…
…0100000110000
31101002220002021
41023032200300
520022021430
61542401224
7326422261
oct113164060
941086067
1019720240
111014a121
126730214
134115ca7
142894968
151ae807a
hex12ce830

19720240 has 40 divisors (see below), whose sum is σ = 46724688. Its totient is φ = 7737600.

The previous prime is 19720237. The next prime is 19720241. The reversal of 19720240 is 4202791.

19720240 = T181 + T182 + ... + T498.

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

It is not an unprimeable number, because it can be changed into a prime (19720241) 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, 1915 + ... + 6565.

Almost surely, 219720240 is an apocalyptic number.

19720240 is a gapful number since it is divisible by the number (10) 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 19720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362344).

19720240 is an abundant number, since it is smaller than the sum of its proper divisors (27004448).

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

19720240 is a wasteful number, since it uses less digits than its factorization.

19720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 19720240 is about 4440.7476847936. The cubic root of 19720240 is about 270.1701716451.

The spelling of 19720240 in words is "nineteen million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 4651 9302 18604 23255 37208 46510 74416 93020 186040 246503 372080 493006 986012 1232515 1972024 2465030 3944048 4930060 9860120 19720240