Search a number
-
+
40790240 = 2552959149
BaseRepresentation
bin1001101110011…
…0100011100000
32211202100200122
42123212203200
540420241430
64014135412
71003465661
oct233464340
984670618
1040790240
1121030347
12117b1568
1385b244a
1455bb368
1538aaee5
hex26e68e0

40790240 has 96 divisors (see below), whose sum is σ = 102060000. Its totient is φ = 15382528.

The previous prime is 40790227. The next prime is 40790249. The reversal of 40790240 is 4209704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40790249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273686 + ... + 273834.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 240790240 is an apocalyptic number.

40790240 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 40790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030000).

40790240 is an abundant number, since it is smaller than the sum of its proper divisors (61269760).

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

40790240 is a wasteful number, since it uses less digits than its factorization.

40790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 40790240 is about 6386.7237297381. The cubic root of 40790240 is about 344.2326711488.

Adding to 40790240 its reverse (4209704), we get a palindrome (44999944).

The spelling of 40790240 in words is "forty million, seven hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 80 116 118 145 149 160 232 236 290 295 298 464 472 580 590 596 745 928 944 1160 1180 1192 1490 1711 1888 2320 2360 2384 2980 3422 4321 4640 4720 4768 5960 6844 8555 8642 8791 9440 11920 13688 17110 17284 17582 21605 23840 27376 34220 34568 35164 43210 43955 54752 68440 69136 70328 86420 87910 136880 138272 140656 172840 175820 254939 273760 281312 345680 351640 509878 691360 703280 1019756 1274695 1406560 2039512 2549390 4079024 5098780 8158048 10197560 20395120 40790240