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42720240 = 2435178001
BaseRepresentation
bin1010001011110…
…1101111110000
32222101102011010
42202331233300
541414021430
64123350520
71026054543
oct242755760
988342133
1042720240
1122129392
1212382440
138b09a64
14596085a
153b3ccb0
hex28bdbf0

42720240 has 40 divisors (see below), whose sum is σ = 132433488. Its totient is φ = 11392000.

The previous prime is 42720239. The next prime is 42720241. The reversal of 42720240 is 4202724.

It is an interprime number because it is at equal distance from previous prime (42720239) and next prime (42720241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42720241) 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, 88761 + ... + 89240.

Almost surely, 242720240 is an apocalyptic number.

42720240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42720240 is an abundant number, since it is smaller than the sum of its proper divisors (89713248).

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

42720240 is a wasteful number, since it uses less digits than its factorization.

42720240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178017 (or 178011 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 42720240 is about 6536.0722150233. The cubic root of 42720240 is about 349.5783766541.

Adding to 42720240 its reverse (4202724), we get a palindrome (46922964).

The spelling of 42720240 in words is "forty-two million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178001 356002 534003 712004 890005 1068006 1424008 1780010 2136012 2670015 2848016 3560020 4272024 5340030 7120040 8544048 10680060 14240080 21360120 42720240