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40021440 = 263547887
BaseRepresentation
bin1001100010101…
…0110111000000
32210022022002120
42120222313000
540221141230
63545444240
7664114404
oct230526700
983268076
1040021440
1120655778
12114a0680
1383a3534
14545b104
1537a8310
hex262adc0

40021440 has 112 divisors (see below), whose sum is σ = 129917952. Its totient is φ = 10433536.

The previous prime is 40021427. The next prime is 40021459. The reversal of 40021440 is 4412004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44677 + ... + 45563.

Almost surely, 240021440 is an apocalyptic number.

40021440 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 40021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64958976).

40021440 is an abundant number, since it is smaller than the sum of its proper divisors (89896512).

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

40021440 is a wasteful number, since it uses less digits than its factorization.

40021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40021440 is about 6326.2500740960. The cubic root of 40021440 is about 342.0562815620.

Adding to 40021440 its reverse (4412004), we get a palindrome (44433444).

The spelling of 40021440 in words is "forty million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 887 940 960 1128 1410 1504 1774 1880 2256 2661 2820 3008 3548 3760 4435 4512 5322 5640 7096 7520 8870 9024 10644 11280 13305 14192 15040 17740 21288 22560 26610 28384 35480 41689 42576 45120 53220 56768 70960 83378 85152 106440 125067 141920 166756 170304 208445 212880 250134 283840 333512 416890 425760 500268 625335 667024 833780 851520 1000536 1250670 1334048 1667560 2001072 2501340 2668096 3335120 4002144 5002680 6670240 8004288 10005360 13340480 20010720 40021440