Search a number
-
+
40168240 = 2457210247
BaseRepresentation
bin1001100100111…
…0101100110000
32210120202110121
42121032230300
540240340430
63552540024
7665265400
oct231165460
983522417
1040168240
1120745aa2
1211551614
1384252b8
145498800
1537d6a7a
hex264eb30

40168240 has 60 divisors (see below), whose sum is σ = 108649296. Its totient is φ = 13770624.

The previous prime is 40168237. The next prime is 40168241. The reversal of 40168240 is 4286104.

It is a super-2 number, since 2×401682402 = 3226975009395200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40168241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204 + ... + 9043.

Almost surely, 240168240 is an apocalyptic number.

40168240 is a gapful number since it is divisible by the number (40) 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 40168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54324648).

40168240 is an abundant number, since it is smaller than the sum of its proper divisors (68481056).

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

40168240 is a wasteful number, since it uses less digits than its factorization.

40168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 40168240 is about 6337.8419039922. The cubic root of 40168240 is about 342.4739959301.

The spelling of 40168240 in words is "forty million, one hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 10247 20494 40988 51235 71729 81976 102470 143458 163952 204940 286916 358645 409880 502103 573832 717290 819760 1004206 1147664 1434580 2008412 2510515 2869160 4016824 5021030 5738320 8033648 10042060 20084120 40168240