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2154540 = 2235149241
BaseRepresentation
bin1000001110000000101100
311001110110210
420032000230
51022421130
6114102420
724212313
oct10160054
94043423
102154540
111241813
1287aa10
135a589b
1440127a
152c85b0
hex20e02c

2154540 has 48 divisors (see below), whose sum is σ = 6098400. Its totient is φ = 568320.

The previous prime is 2154539. The next prime is 2154541. The reversal of 2154540 is 454512.

It is an interprime number because it is at equal distance from previous prime (2154539) and next prime (2154541).

It is a super-2 number, since 2×21545402 = 9284085223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2154541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820 + ... + 9060.

It is an arithmetic number, because the mean of its divisors is an integer number (127050).

22154540 is an apocalyptic number.

2154540 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 2154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049200).

2154540 is an abundant number, since it is smaller than the sum of its proper divisors (3943860).

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

2154540 is a wasteful number, since it uses less digits than its factorization.

2154540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2154540 is about 1467.8351406067. The cubic root of 2154540 is about 129.1570708561.

The spelling of 2154540 in words is "two million, one hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 241 298 447 482 596 723 745 894 964 1205 1446 1490 1788 2235 2410 2892 2980 3615 4470 4820 7230 8940 14460 35909 71818 107727 143636 179545 215454 359090 430908 538635 718180 1077270 2154540