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2190480 = 24359127
BaseRepresentation
bin1000010110110010010000
311010021202220
420112302100
51030043410
6114541040
724422145
oct10266220
94107686
102190480
111266816
12897780
135b9056
144103cc
152d4070
hex216c90

2190480 has 40 divisors (see below), whose sum is σ = 6791232. Its totient is φ = 584064.

The previous prime is 2190479. The next prime is 2190481. The reversal of 2190480 is 840912.

It is an interprime number because it is at equal distance from previous prime (2190479) and next prime (2190481).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2190480.

It is not an unprimeable number, because it can be changed into a prime (2190481) 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, 4324 + ... + 4803.

22190480 is an apocalyptic number.

2190480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190480 is an abundant number, since it is smaller than the sum of its proper divisors (4600752).

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

2190480 is a wasteful number, since it uses less digits than its factorization.

2190480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2190480 is about 1480.0270267803. The cubic root of 2190480 is about 129.8712729700.

The spelling of 2190480 in words is "two million, one hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9127 18254 27381 36508 45635 54762 73016 91270 109524 136905 146032 182540 219048 273810 365080 438096 547620 730160 1095240 2190480