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73998090 = 23352231229
BaseRepresentation
bin1000110100100…
…01111100001010
312011020111022000
410122101330022
5122420414330
611202011430
71555654605
oct432217412
9164214260
1073998090
1138851951
1220946b76
131243b56a
149b8333c
15676a560
hex4691f0a

73998090 has 64 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 19628352.

The previous prime is 73998079. The next prime is 73998091. The reversal of 73998090 is 9089937.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73998091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59596 + ... + 60824.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 273998090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73998090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

73998090 is an abundant number, since it is smaller than the sum of its proper divisors (124376310).

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

73998090 is a wasteful number, since it uses less digits than its factorization.

73998090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 73998090 is about 8602.2142498313. The cubic root of 73998090 is about 419.8300332675.

The spelling of 73998090 in words is "seventy-three million, nine hundred ninety-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1229 1338 2007 2230 2458 3345 3687 4014 6021 6145 6690 7374 10035 11061 12042 12290 18435 20070 22122 30105 33183 36870 55305 60210 66366 110610 165915 274067 331830 548134 822201 1370335 1644402 2466603 2740670 4111005 4933206 7399809 8222010 12333015 14799618 24666030 36999045 73998090