Search a number
-
+
10512840 = 23351323293
BaseRepresentation
bin101000000110…
…100111001000
3201210002220110
4220012213020
510142402330
61013154320
7155233452
oct50064710
921702813
1010512840
115a304a8
12362b9a0
132241120
1415792d2
15dc9db0
hexa069c8

10512840 has 128 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 2466816.

The previous prime is 10512839. The next prime is 10512883. The reversal of 10512840 is 4821501.

It is a super-2 number, since 2×105128402 = 221039609731200, which contains 22 as substring.

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, 35734 + ... + 36026.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 210512840 is an apocalyptic number.

10512840 is a gapful number since it is divisible by the number (10) 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 10512840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

10512840 is an abundant number, since it is smaller than the sum of its proper divisors (25049400).

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

10512840 is a wasteful number, since it uses less digits than its factorization.

10512840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10512840 is about 3242.3509988895. The cubic root of 10512840 is about 219.0651794066.

The spelling of 10512840 in words is "ten million, five hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 293 299 312 345 390 460 520 552 586 598 690 780 879 897 920 1172 1196 1380 1465 1495 1560 1758 1794 2344 2392 2760 2930 2990 3516 3588 3809 4395 4485 5860 5980 6739 7032 7176 7618 8790 8970 11427 11720 11960 13478 15236 17580 17940 19045 20217 22854 26956 30472 33695 35160 35880 38090 40434 45708 53912 57135 67390 76180 80868 87607 91416 101085 114270 134780 152360 161736 175214 202170 228540 262821 269560 350428 404340 438035 457080 525642 700856 808680 876070 1051284 1314105 1752140 2102568 2628210 3504280 5256420 10512840