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10117240 = 2357231571
BaseRepresentation
bin100110100110…
…000001111000
3201001000020121
4212212001320
510042222430
61000503024
7151665220
oct46460170
921030217
1010117240
115790261
12347aa74
132133043
1414b5080
15d4ca7a
hex9a6078

10117240 has 64 divisors (see below), whose sum is σ = 27164160. Its totient is φ = 3315840.

The previous prime is 10117231. The next prime is 10117297. The reversal of 10117240 is 4271101.

It is a congruent number.

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, 5655 + ... + 7225.

It is an arithmetic number, because the mean of its divisors is an integer number (424440).

Almost surely, 210117240 is an apocalyptic number.

10117240 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 10117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582080).

10117240 is an abundant number, since it is smaller than the sum of its proper divisors (17046920).

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

10117240 is a wasteful number, since it uses less digits than its factorization.

10117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10117240 is about 3180.7609152528. The cubic root of 10117240 is about 216.2821529925.

Adding to 10117240 its reverse (4271101), we get a palindrome (14388341).

The spelling of 10117240 in words is "ten million, one hundred seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1571 1610 3142 3220 6284 6440 7855 10997 12568 15710 21994 31420 36133 43988 54985 62840 72266 87976 109970 144532 180665 219940 252931 289064 361330 439880 505862 722660 1011724 1264655 1445320 2023448 2529310 5058620 10117240