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855487920 = 243571926801
BaseRepresentation
bin110010111111011…
…011010110110000
32012121202021210210
4302333123112300
53223001103140
6220520024120
730125345610
oct6277332660
92177667723
10855487920
113a999a811
121ba602040
13108310191
1481890a40
1550187d80
hex32fdb5b0

855487920 has 160 divisors (see below), whose sum is σ = 3190510080. Its totient is φ = 185241600.

The previous prime is 855487879. The next prime is 855487931. The reversal of 855487920 is 29784558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 855487920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18520 + ... + 45320.

It is an arithmetic number, because the mean of its divisors is an integer number (19940688).

Almost surely, 2855487920 is an apocalyptic number.

855487920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595255040).

855487920 is an abundant number, since it is smaller than the sum of its proper divisors (2335022160).

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

855487920 is a wasteful number, since it uses less digits than its factorization.

855487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26843 (or 26837 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 855487920 is about 29248.7251004210. The cubic root of 855487920 is about 949.3025055655.

The spelling of 855487920 in words is "eight hundred fifty-five million, four hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 26801 31920 53602 80403 107204 134005 160806 187607 214408 268010 321612 375214 402015 428816 509219 536020 562821 643224 750428 804030 938035 1018438 1072040 1125642 1286448 1500856 1527657 1608060 1876070 2036876 2144080 2251284 2546095 2814105 3001712 3055314 3216120 3564533 3752140 4073752 4502568 5092190 5628210 6110628 6432240 7129066 7504280 7638285 8147504 9005136 10184380 10693599 11256420 12221256 14258132 15008560 15276570 17822665 20368760 21387198 22512840 24442512 28516264 30553140 35645330 40737520 42774396 45025680 53467995 57032528 61106280 71290660 85548792 106935990 122212560 142581320 171097584 213871980 285162640 427743960 855487920