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75720540 = 22357180287
BaseRepresentation
bin1001000001101…
…10011101011100
312021111000001110
410200312131130
5123341024130
611302542020
71606420410
oct440663534
9167430043
1075720540
1139818a65
1221437910
13128c256c
14a0b0d40
1569aaab0
hex483675c

75720540 has 48 divisors (see below), whose sum is σ = 242307072. Its totient is φ = 17307456.

The previous prime is 75720539. The next prime is 75720571. The reversal of 75720540 is 4502757.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75720498 and 75720507.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 89724 + ... + 90563.

It is an arithmetic number, because the mean of its divisors is an integer number (5048064).

Almost surely, 275720540 is an apocalyptic number.

75720540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75720540 is an abundant number, since it is smaller than the sum of its proper divisors (166586532).

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

75720540 is a wasteful number, since it uses less digits than its factorization.

75720540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180306 (or 180304 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 75720540 is about 8701.7549954018. The cubic root of 75720540 is about 423.0625351157.

The spelling of 75720540 in words is "seventy-five million, seven hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 180287 360574 540861 721148 901435 1081722 1262009 1802870 2163444 2524018 2704305 3605740 3786027 5048036 5408610 6310045 7572054 10817220 12620090 15144108 18930135 25240180 37860270 75720540