[go: up one dir, main page]

Search a number
-
+
10334520 = 2333571367
BaseRepresentation
bin100111011011…
…000100111000
3201110001022000
4213123010320
510121201040
61005301000
7153561540
oct47330470
921401260
1010334520
115919529
123564760
1321aac01
141530320
15d92130
hex9db138

10334520 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2360448.

The previous prime is 10334509. The next prime is 10334539. The reversal of 10334520 is 2543301.

10334520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10334493 and 10334502.

It is a congruent number.

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, 6877 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 210334520 is an apocalyptic number.

10334520 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 10334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

10334520 is an abundant number, since it is smaller than the sum of its proper divisors (29063880).

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

10334520 is a wasteful number, since it uses less digits than its factorization.

10334520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10334520 is about 3214.7348257671. The cubic root of 10334520 is about 217.8195066350.

Adding to 10334520 its reverse (2543301), we get a palindrome (12877821).

The spelling of 10334520 in words is "ten million, three hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1367 1512 1890 2520 2734 3780 4101 5468 6835 7560 8202 9569 10936 12303 13670 16404 19138 20505 24606 27340 28707 32808 36909 38276 41010 47845 49212 54680 57414 61515 73818 76552 82020 86121 95690 98424 114828 123030 143535 147636 164040 172242 184545 191380 229656 246060 258363 287070 295272 344484 369090 382760 430605 492120 516726 574140 688968 738180 861210 1033452 1148280 1291815 1476360 1722420 2066904 2583630 3444840 5167260 10334520