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40663040 = 211511192
BaseRepresentation
bin1001101100011…
…1100000000000
32211111220012112
42123013200000
540402204130
64011314452
71002426065
oct233074000
984456175
1040663040
1120a53820
121174ba28
138569592
145586c6c
153883495
hex26c7800

40663040 has 144 divisors (see below), whose sum is σ = 112334040. Its totient is φ = 14008320.

The previous prime is 40663013. The next prime is 40663043. The reversal of 40663040 is 4036604.

It is a junction number, because it is equal to n+sod(n) for n = 40662997 and 40663015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40663043) 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, 2140151 + ... + 2140169.

Almost surely, 240663040 is an apocalyptic number.

40663040 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 40663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56167020).

40663040 is an abundant number, since it is smaller than the sum of its proper divisors (71671000).

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

40663040 is a wasteful number, since it uses less digits than its factorization.

40663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 40663040 is about 6376.7577968745. The cubic root of 40663040 is about 343.8744809773.

Adding to 40663040 its reverse (4036604), we get a palindrome (44699644).

The spelling of 40663040 in words is "forty million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 361 380 418 440 512 608 640 704 722 760 836 880 1024 1045 1216 1280 1408 1444 1520 1672 1760 1805 2048 2090 2432 2560 2816 2888 3040 3344 3520 3610 3971 4180 4864 5120 5632 5776 6080 6688 7040 7220 7942 8360 9728 10240 11264 11552 12160 13376 14080 14440 15884 16720 19456 19855 22528 23104 24320 26752 28160 28880 31768 33440 38912 39710 46208 48640 53504 56320 57760 63536 66880 79420 92416 97280 107008 112640 115520 127072 133760 158840 184832 194560 214016 231040 254144 267520 317680 369664 428032 462080 508288 535040 635360 739328 924160 1016576 1070080 1270720 1848320 2033152 2140160 2541440 3696640 4066304 5082880 8132608 10165760 20331520 40663040