Search a number
-
+
10028460 = 22351322343
BaseRepresentation
bin100110010000…
…010110101100
3200212111110110
4212100112230
510031402320
6554540020
7151145331
oct46202654
920774413
1010028460
11572a592
123437610
132101800
141490988
15d315e0
hex9905ac

10028460 has 144 divisors (see below), whose sum is σ = 32465664. Its totient is φ = 2306304.

The previous prime is 10028449. The next prime is 10028467. The reversal of 10028460 is 6482001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233199 + ... + 233241.

It is an arithmetic number, because the mean of its divisors is an integer number (225456).

Almost surely, 210028460 is an apocalyptic number.

10028460 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 10028460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232832).

10028460 is an abundant number, since it is smaller than the sum of its proper divisors (22437204).

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

10028460 is a wasteful number, since it uses less digits than its factorization.

10028460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10028460 is about 3166.7743841329. The cubic root of 10028460 is about 215.6476594544.

Adding to 10028460 its sum of digits (21), we get a triangular number (10028481 = T4478).

The spelling of 10028460 in words is "ten million, twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 43 46 52 60 65 69 78 86 92 115 129 130 138 156 169 172 195 215 230 258 260 276 299 338 345 390 430 460 507 516 559 598 645 676 690 780 845 860 897 989 1014 1118 1196 1290 1380 1495 1677 1690 1794 1978 2028 2236 2535 2580 2795 2967 2990 3354 3380 3588 3887 3956 4485 4945 5070 5590 5934 5980 6708 7267 7774 8385 8970 9890 10140 11180 11661 11868 12857 14534 14835 15548 16770 17940 19435 19780 21801 23322 25714 29068 29670 33540 36335 38571 38870 43602 46644 51428 58305 59340 64285 72670 77142 77740 87204 109005 116610 128570 145340 154284 167141 192855 218010 233220 257140 334282 385710 436020 501423 668564 771420 835705 1002846 1671410 2005692 2507115 3342820 5014230 10028460