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873661740 = 2235719910453
BaseRepresentation
bin110100000100110…
…000010100101100
32020212221121121020
4310010300110230
53242124133430
6222405334140
730436000530
oct6404602454
92225847536
10873661740
11409182aa6
12204707350
1310c004313
1484061bc0
1551a77b10
hex3413052c

873661740 has 96 divisors (see below), whose sum is σ = 2810035200. Its totient is φ = 198671616.

The previous prime is 873661729. The next prime is 873661753. The reversal of 873661740 is 47166378.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 873661692 and 873661701.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78354 + ... + 88806.

It is an arithmetic number, because the mean of its divisors is an integer number (29271200).

Almost surely, 2873661740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873661740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405017600).

873661740 is an abundant number, since it is smaller than the sum of its proper divisors (1936373460).

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

873661740 is a wasteful number, since it uses less digits than its factorization.

873661740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 873661740 is about 29557.7695369593. The cubic root of 873661740 is about 955.9777236688.

The spelling of 873661740 in words is "eight hundred seventy-three million, six hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 199 210 398 420 597 796 995 1194 1393 1990 2388 2786 2985 3980 4179 5572 5970 6965 8358 10453 11940 13930 16716 20895 20906 27860 31359 41790 41812 52265 62718 73171 83580 104530 125436 146342 156795 209060 219513 292684 313590 365855 439026 627180 731710 878052 1097565 1463420 2080147 2195130 4160294 4390260 6240441 8320588 10400735 12480882 14561029 20801470 24961764 29122058 31202205 41602940 43683087 58244116 62404410 72805145 87366174 124808820 145610290 174732348 218415435 291220580 436830870 873661740