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2146480 = 24573833
BaseRepresentation
bin1000001100000010110000
311001001102021
420030002300
51022141410
6114001224
724146650
oct10140260
94031367
102146480
111236756
12876214
135a200b
143dc360
152c5eda
hex20c0b0

2146480 has 40 divisors (see below), whose sum is σ = 5704992. Its totient is φ = 735744.

The previous prime is 2146477. The next prime is 2146483. The reversal of 2146480 is 846412.

It is an interprime number because it is at equal distance from previous prime (2146477) and next prime (2146483).

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 (2146483) 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, 1357 + ... + 2476.

22146480 is an apocalyptic number.

2146480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146480 is an abundant number, since it is smaller than the sum of its proper divisors (3558512).

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

2146480 is a wasteful number, since it uses less digits than its factorization.

2146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2146480 is about 1465.0870281318. The cubic root of 2146480 is about 128.9958134170.

The spelling of 2146480 in words is "two million, one hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3833 7666 15332 19165 26831 30664 38330 53662 61328 76660 107324 134155 153320 214648 268310 306640 429296 536620 1073240 2146480