Search a number
-
+
857172240 = 24335419679
BaseRepresentation
bin110011000101110…
…110100100010000
32012201220212021000
4303011312210100
53223414002430
6221020102000
730145562301
oct6305664420
92181825230
10857172240
113aa940211
121bb094900
1310877ca12
1481bac7a8
15503bbe60
hex33176910

857172240 has 160 divisors (see below), whose sum is σ = 3024806400. Its totient is φ = 222981120.

The previous prime is 857172221. The next prime is 857172247. The reversal of 857172240 is 42271758.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 857172195 and 857172204.

It is not an unprimeable number, because it can be changed into a prime (857172247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83721 + ... + 93399.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 2857172240 is an apocalyptic number.

857172240 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 857172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512403200).

857172240 is an abundant number, since it is smaller than the sum of its proper divisors (2167634160).

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

857172240 is a wasteful number, since it uses less digits than its factorization.

857172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 857172240 is about 29277.5039919731. The cubic root of 857172240 is about 949.9251058225.

The spelling of 857172240 in words is "eight hundred fifty-seven million, one hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9679 9840 11070 14760 17712 19358 22140 29037 29520 38716 44280 48395 58074 77432 87111 88560 96790 116148 145185 154864 174222 193580 232296 261333 290370 348444 387160 396839 435555 464592 522666 580740 696888 774320 793678 871110 1045332 1161480 1190517 1306665 1393776 1587356 1742220 1984195 2090664 2322960 2381034 2613330 3174712 3484440 3571551 3968390 4181328 4762068 5226660 5952585 6349424 6968880 7143102 7936780 9524136 10453320 10714653 11905170 14286204 15873560 17857755 19048272 20906640 21429306 23810340 28572408 31747120 35715510 42858612 47620680 53573265 57144816 71431020 85717224 95241360 107146530 142862040 171434448 214293060 285724080 428586120 857172240