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40507040 = 255759613
BaseRepresentation
bin1001101010000…
…1011010100000
32211012222012202
42122201122200
540332211130
64004112332
71001206220
oct232413240
984188182
1040507040
11209575a2
12116956a8
138513582
145546080
153852145
hex26a16a0

40507040 has 96 divisors (see below), whose sum is σ = 111404160. Its totient is φ = 13630464.

The previous prime is 40507021. The next prime is 40507067. The reversal of 40507040 is 4070504.

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, 65774 + ... + 66386.

It is an arithmetic number, because the mean of its divisors is an integer number (1160460).

Almost surely, 240507040 is an apocalyptic number.

40507040 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 40507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55702080).

40507040 is an abundant number, since it is smaller than the sum of its proper divisors (70897120).

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

40507040 is a wasteful number, since it uses less digits than its factorization.

40507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 40507040 is about 6364.5141212822. The cubic root of 40507040 is about 343.4341698558.

Adding to 40507040 its reverse (4070504), we get a palindrome (44577544).

The spelling of 40507040 in words is "forty million, five hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 613 826 944 1120 1180 1226 1652 1888 2065 2360 2452 3065 3304 4130 4291 4720 4904 6130 6608 8260 8582 9440 9808 12260 13216 16520 17164 19616 21455 24520 33040 34328 36167 42910 49040 66080 68656 72334 85820 98080 137312 144668 171640 180835 253169 289336 343280 361670 506338 578672 686560 723340 1012676 1157344 1265845 1446680 2025352 2531690 2893360 4050704 5063380 5786720 8101408 10126760 20253520 40507040