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86172870 = 2357231261
BaseRepresentation
bin1010010001011…
…10010011000110
320000011000221210
411020232103012
5134030012440
612314552250
72064312600
oct510562306
9200130853
1086172870
1144707a53
1224a38686
1314b11c84
14b632170
157872a80
hex522e4c6

86172870 has 144 divisors (see below), whose sum is σ = 252666864. Its totient is φ = 18748800.

The previous prime is 86172829. The next prime is 86172887. The reversal of 86172870 is 7827168.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1412640 + ... + 1412700.

It is an arithmetic number, because the mean of its divisors is an integer number (1754631).

Almost surely, 286172870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86172870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126333432).

86172870 is an abundant number, since it is smaller than the sum of its proper divisors (166493994).

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

86172870 is a wasteful number, since it uses less digits than its factorization.

86172870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 86172870 is about 9282.9343421140. The cubic root of 86172870 is about 441.6960537386.

The spelling of 86172870 in words is "eighty-six million, one hundred seventy-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 61 62 70 93 98 105 122 147 155 183 186 210 217 245 294 305 310 366 427 434 465 490 610 651 735 854 915 930 961 1085 1281 1302 1470 1519 1830 1891 1922 2135 2170 2562 2883 2989 3038 3255 3782 4270 4557 4805 5673 5766 5978 6405 6510 6727 7595 8967 9114 9455 9610 11346 12810 13237 13454 14415 14945 15190 17934 18910 20181 22785 26474 28365 28830 29890 33635 39711 40362 44835 45570 47089 56730 58621 66185 67270 79422 89670 92659 94178 100905 117242 132370 141267 175863 185318 198555 201810 235445 277977 282534 293105 351726 397110 410347 463295 470890 555954 586210 706335 820694 879315 926590 1231041 1389885 1412670 1758630 2051735 2462082 2779770 2872429 4103470 5744858 6155205 8617287 12310410 14362145 17234574 28724290 43086435 86172870