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2720040 = 2335191193
BaseRepresentation
bin1010011000000100101000
312010012012020
422120010220
51144020130
6134144440
732056101
oct12300450
95105166
102720040
111598674
12ab2120
137430bb
1450b3a8
1538ae10
hex298128

2720040 has 64 divisors (see below), whose sum is σ = 8596800. Its totient is φ = 686592.

The previous prime is 2720009. The next prime is 2720071. The reversal of 2720040 is 400272.

It is an interprime number because it is at equal distance from previous prime (2720009) and next prime (2720071).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 1684 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (134325).

22720040 is an apocalyptic number.

2720040 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 2720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298400).

2720040 is an abundant number, since it is smaller than the sum of its proper divisors (5876760).

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

2720040 is a wasteful number, since it uses less digits than its factorization.

2720040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2720040 is about 1649.2543769837. The cubic root of 2720040 is about 139.5913252027.

The spelling of 2720040 in words is "two million, seven hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1193 2280 2386 3579 4772 5965 7158 9544 11930 14316 17895 22667 23860 28632 35790 45334 47720 68001 71580 90668 113335 136002 143160 181336 226670 272004 340005 453340 544008 680010 906680 1360020 2720040