Search a number
-
+
856899810 = 234513194283
BaseRepresentation
bin110011000100110…
…100000011100010
32012201102000120000
4303010310003202
53223331243220
6221010200430
730143346114
oct6304640342
92181360500
10856899810
113aa774568
121bab83116
131086b5a10
1481b3b3b4
1550366390
hex331340e2

856899810 has 160 divisors (see below), whose sum is σ = 2612554560. Its totient is φ = 199780992.

The previous prime is 856899809. The next prime is 856899811. The reversal of 856899810 is 18998658.

It is an interprime number because it is at equal distance from previous prime (856899809) and next prime (856899811).

It is a super-2 number, since 2×8568998102 = 1468554568756072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (856899811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197929 + ... + 202211.

It is an arithmetic number, because the mean of its divisors is an integer number (16328466).

Almost surely, 2856899810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856899810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306277280).

856899810 is an abundant number, since it is smaller than the sum of its proper divisors (1755654750).

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

856899810 is a wasteful number, since it uses less digits than its factorization.

856899810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 856899810 is about 29272.8510739900. The cubic root of 856899810 is about 949.8244587935.

The spelling of 856899810 in words is "eight hundred fifty-six million, eight hundred ninety-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 2106 2223 2470 2565 3078 3510 3705 4283 4446 5130 5265 6669 7410 7695 8566 10530 11115 12849 13338 15390 20007 21415 22230 25698 33345 38547 40014 42830 55679 64245 66690 77094 81377 100035 111358 115641 128490 162754 167037 192735 200070 231282 244131 278395 334074 346923 385470 406885 488262 501111 556790 578205 693846 732393 813770 835185 1002222 1057901 1156410 1220655 1464786 1503333 1670370 1734615 2115802 2197179 2441310 2505555 3006666 3173703 3469230 3661965 4394358 4509999 5011110 5289505 6347406 6591537 7323930 7516665 9019998 9521109 10579010 10985895 13183074 15033330 15868515 19042218 21971790 22549995 28563327 31737030 32957685 45099990 47605545 57126654 65915370 85689981 95211090 142816635 171379962 285633270 428449905 856899810