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80085870 = 23257183151
BaseRepresentation
bin1001100011000…
…00001101101110
312120200210011100
410301200031232
5131000221440
611540303530
71661501334
oct461401556
9176623140
1080085870
114122a777
12229a1ba6
13137904b7
14a8c9b54
15706e230
hex4c6036e

80085870 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 20664000.

The previous prime is 80085847. The next prime is 80085877. The reversal of 80085870 is 7858008.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80085877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530295 + ... + 530445.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 280085870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80085870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

80085870 is an abundant number, since it is smaller than the sum of its proper divisors (135029394).

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

80085870 is a wasteful number, since it uses less digits than its factorization.

80085870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 80085870 is about 8949.0709014959. The cubic root of 80085870 is about 431.0410506350.

The spelling of 80085870 in words is "eighty million, eighty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 83 90 142 151 166 213 249 302 355 415 426 453 498 639 710 747 755 830 906 1065 1245 1278 1359 1494 1510 2130 2265 2490 2718 3195 3735 4530 5893 6390 6795 7470 10721 11786 12533 13590 17679 21442 25066 29465 32163 35358 37599 53037 53605 58930 62665 64326 75198 88395 96489 106074 107210 112797 125330 160815 176790 187995 192978 225594 265185 321630 375990 482445 530370 563985 889843 964890 1127970 1779686 2669529 4449215 5339058 8008587 8898430 13347645 16017174 26695290 40042935 80085870