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73481040 = 2433534019
BaseRepresentation
bin1000110000100…
…11101101010000
312010021020001000
410120103231100
5122302343130
611142542000
71551402303
oct430235520
9163236030
1073481040
1138529436
1220737900
13122ba109
149a8ab3a
1566b7260
hex4613b50

73481040 has 80 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 19594368.

The previous prime is 73481033. The next prime is 73481047. The reversal of 73481040 is 4018437.

It is an interprime number because it is at equal distance from previous prime (73481033) and next prime (73481047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73480995 and 73481013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73481047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14850 + ... + 19169.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 273481040 is an apocalyptic number.

It is an amenable number.

73481040 is an abundant number, since it is smaller than the sum of its proper divisors (179627760).

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

73481040 is a wasteful number, since it uses less digits than its factorization.

73481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34041 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73481040 is about 8572.1082587658. The cubic root of 73481040 is about 418.8499148231.

Adding to 73481040 its reverse (4018437), we get a palindrome (77499477).

The spelling of 73481040 in words is "seventy-three million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 34019 68038 102057 136076 170095 204114 272152 306171 340190 408228 510285 544304 612342 680380 816456 918513 1020570 1224684 1360760 1530855 1632912 1837026 2041140 2449368 2721520 3061710 3674052 4082280 4592565 4898736 6123420 7348104 8164560 9185130 12246840 14696208 18370260 24493680 36740520 73481040