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2724540040 = 235379179719
BaseRepresentation
bin1010001001100101…
…0010111010001000
321000212200222022101
42202121102322020
521034440240130
61130204203144
7124342131265
oct24231227210
97025628271
102724540040
111178a28292
126405394b4
133455c9491
141bbbc026c
1510e2d11ca
hexa2652e88

2724540040 has 32 divisors (see below), whose sum is σ = 6146424000. Its totient is φ = 1086934464.

The previous prime is 2724540031. The next prime is 2724540061. The reversal of 2724540040 is 400454272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2724539990 and 2724540008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74700 + ... + 105019.

It is an arithmetic number, because the mean of its divisors is an integer number (192075750).

Almost surely, 22724540040 is an apocalyptic number.

2724540040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2724540040 is an abundant number, since it is smaller than the sum of its proper divisors (3421883960).

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

2724540040 is a wasteful number, since it uses less digits than its factorization.

2724540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180109 (or 180105 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2724540040 is about 52197.1267408466. The cubic root of 2724540040 is about 1396.6826285209.

The spelling of 2724540040 in words is "two billion, seven hundred twenty-four million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 379 758 1516 1895 3032 3790 7580 15160 179719 359438 718876 898595 1437752 1797190 3594380 7188760 68113501 136227002 272454004 340567505 544908008 681135010 1362270020 2724540040