Search a number
-
+
10715240 = 2351923613
BaseRepresentation
bin101000111000…
…000001101000
3202011101112202
4220320001220
510220341430
61021355332
7160035524
oct50700150
922141482
1010715240
116059578
123708b48
1322b22a3
1415ccd84
15e19d45
hexa38068

10715240 has 64 divisors (see below), whose sum is σ = 26524800. Its totient is φ = 3877632.

The previous prime is 10715233. The next prime is 10715251. The reversal of 10715240 is 4251701.

It is a super-2 number, since 2×107152402 = 229632736515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17174 + ... + 17786.

It is an arithmetic number, because the mean of its divisors is an integer number (414450).

Almost surely, 210715240 is an apocalyptic number.

10715240 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 10715240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262400).

10715240 is an abundant number, since it is smaller than the sum of its proper divisors (15809560).

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

10715240 is a wasteful number, since it uses less digits than its factorization.

10715240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 10715240 is about 3273.4141198449. The cubic root of 10715240 is about 220.4621140408.

Adding to 10715240 its reverse (4251701), we get a palindrome (14966941).

The spelling of 10715240 in words is "ten million, seven hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 613 760 874 920 1226 1748 2185 2452 3065 3496 4370 4904 6130 8740 11647 12260 14099 17480 23294 24520 28198 46588 56396 58235 70495 93176 112792 116470 140990 232940 267881 281980 465880 535762 563960 1071524 1339405 2143048 2678810 5357620 10715240