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2920240 = 245173211
BaseRepresentation
bin1011001000111100110000
312111100211001
423020330300
51221421430
6142331344
733551551
oct13107460
95440731
102920240
111715024
12b89b54
137b326b
14560328
153ca3ca
hex2c8f30

2920240 has 40 divisors (see below), whose sum is σ = 6861168. Its totient is φ = 1155840.

The previous prime is 2920237. The next prime is 2920249. The reversal of 2920240 is 420292.

It is a happy number.

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 (2920249) 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, 13735 + ... + 13945.

22920240 is an apocalyptic number.

2920240 is a gapful number since it is divisible by the number (20) 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 2920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430584).

2920240 is an abundant number, since it is smaller than the sum of its proper divisors (3940928).

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

2920240 is a wasteful number, since it uses less digits than its factorization.

2920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2920240 is about 1708.8709723089. The cubic root of 2920240 is about 142.9353057975.

It can be divided in two parts, 2920 and 240, that added together give a triangular number (3160 = T79).

The spelling of 2920240 in words is "two million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 211 346 422 692 844 865 1055 1384 1688 1730 2110 2768 3376 3460 4220 6920 8440 13840 16880 36503 73006 146012 182515 292024 365030 584048 730060 1460120 2920240