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40232640 = 263575987
BaseRepresentation
bin1001100101111…
…0011011000000
32210201000210210
42121132123000
540244421030
63554154120
7665654220
oct231363300
983630723
1040232640
112078a418
1211582940
1384486c6
1454b4080
1537eabb0
hex265e6c0

40232640 has 112 divisors (see below), whose sum is σ = 146011392. Its totient is φ = 9194496.

The previous prime is 40232623. The next prime is 40232651. The reversal of 40232640 is 4623204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3727 + ... + 9713.

Almost surely, 240232640 is an apocalyptic number.

40232640 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 40232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73005696).

40232640 is an abundant number, since it is smaller than the sum of its proper divisors (105778752).

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

40232640 is a wasteful number, since it uses less digits than its factorization.

40232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40232640 is about 6342.9204630044. The cubic root of 40232640 is about 342.6569227817.

Adding to 40232640 its reverse (4623204), we get a palindrome (44855844).

The spelling of 40232640 in words is "forty million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 5987 6720 11974 17961 23948 29935 35922 41909 47896 59870 71844 83818 89805 95792 119740 125727 143688 167636 179610 191584 209545 239480 251454 287376 335272 359220 383168 419090 478960 502908 574752 628635 670544 718440 838180 957920 1005816 1149504 1257270 1341088 1436880 1676360 1915840 2011632 2514540 2682176 2873760 3352720 4023264 5029080 5747520 6705440 8046528 10058160 13410880 20116320 40232640