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73838070 = 23251018123
BaseRepresentation
bin1000110011010…
…10110111110110
312010221100210100
410121222313312
5122400304240
611154334530
71554420225
oct431526766
9163840710
1073838070
11387526a9
122088a446
13123b3787
149b40cbc
156737e30
hex466adf6

73838070 has 48 divisors (see below), whose sum is σ = 193903632. Its totient is φ = 19492800.

The previous prime is 73838059. The next prime is 73838071. The reversal of 73838070 is 7083837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73838071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (4039659).

Almost surely, 273838070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73838070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96951816).

73838070 is an abundant number, since it is smaller than the sum of its proper divisors (120065562).

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

73838070 is a wasteful number, since it uses less digits than its factorization.

73838070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73838070 is about 8592.9081223995. The cubic root of 73838070 is about 419.5271890257.

The spelling of 73838070 in words is "seventy-three million, eight hundred thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 8123 9090 16246 24369 40615 48738 73107 81230 121845 146214 243690 365535 731070 820423 1640846 2461269 4102115 4922538 7383807 8204230 12306345 14767614 24612690 36919035 73838070