Search a number
-
+
40503680 = 27579041
BaseRepresentation
bin1001101010000…
…0100110000000
32211012210121022
42122200212000
540332104210
64004045012
71001163350
oct232404600
984183538
1040503680
1120955018
1211693768
138511b99
145544b60
153851155
hex26a0980

40503680 has 64 divisors (see below), whose sum is σ = 110674080. Its totient is φ = 13885440.

The previous prime is 40503653. The next prime is 40503731. The reversal of 40503680 is 8630504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 9000.

Almost surely, 240503680 is an apocalyptic number.

40503680 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 40503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55337040).

40503680 is an abundant number, since it is smaller than the sum of its proper divisors (70170400).

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

40503680 is an equidigital number, since it uses as much as digits as its factorization.

40503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 40503680 is about 6364.2501522175. The cubic root of 40503680 is about 343.4246738051.

The spelling of 40503680 in words is "forty million, five hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9041 18082 36164 45205 63287 72328 90410 126574 144656 180820 253148 289312 316435 361640 506296 578624 632870 723280 1012592 1157248 1265740 1446560 2025184 2531480 2893120 4050368 5062960 5786240 8100736 10125920 20251840 40503680