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2173840 = 24529937
BaseRepresentation
bin1000010010101110010000
311002102221121
420102232100
51024030330
6114332024
724322504
oct10225620
94072847
102173840
111255269
1288a014
135b15c6
14408304
152ce17a
hex212b90

2173840 has 40 divisors (see below), whose sum is σ = 5234040. Its totient is φ = 838656.

The previous prime is 2173819. The next prime is 2173877. The reversal of 2173840 is 483712.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 2166784 = 84^2 + 1472^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852 + ... + 2788.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

22173840 is an apocalyptic number.

2173840 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 2173840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617020).

2173840 is an abundant number, since it is smaller than the sum of its proper divisors (3060200).

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

2173840 is a wasteful number, since it uses less digits than its factorization.

2173840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2173840 is about 1474.3947910923. The cubic root of 2173840 is about 129.5415806409.

The spelling of 2173840 in words is "two million, one hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 937 1160 1874 2320 3748 4685 7496 9370 14992 18740 27173 37480 54346 74960 108692 135865 217384 271730 434768 543460 1086920 2173840