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73480770 = 2355112749
BaseRepresentation
bin1000110000100…
…11101001000010
312010021012200000
410120103221002
5122302341040
611142540430
71551401436
oct430235102
9163235600
1073480770
1138529210
1220737716
13122b9c5c
149a8a9c6
1566b7130
hex4613a42

73480770 has 96 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 17807040.

The previous prime is 73480769. The next prime is 73480793. The reversal of 73480770 is 7708437.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25356 + ... + 28104.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 273480770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73480770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108000).

73480770 is an abundant number, since it is smaller than the sum of its proper divisors (142735230).

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

73480770 is a wasteful number, since it uses less digits than its factorization.

73480770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73480770 is about 8572.0925100001. The cubic root of 73480770 is about 418.8494018126.

The spelling of 73480770 in words is "seventy-three million, four hundred eighty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2749 2970 4455 5346 5498 8247 8910 13365 13745 16494 24741 26730 27490 30239 41235 49482 60478 74223 82470 90717 123705 148446 151195 181434 222669 247410 272151 302390 371115 445338 453585 544302 668007 742230 816453 907170 1113345 1336014 1360755 1632906 2226690 2449359 2721510 3340035 4082265 4898718 6680070 7348077 8164530 12246795 14696154 24493590 36740385 73480770