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40421520 = 24325311811
BaseRepresentation
bin1001101000110…
…0100010010000
32211001121220100
42122030202100
540321442040
64002212400
71000401666
oct232144220
984047810
1040421520
11208a9317
1211654100
1384b3679
145522c36
153836b30
hex268c890

40421520 has 120 divisors (see below), whose sum is σ = 140205312. Its totient is φ = 10425600.

The previous prime is 40421519. The next prime is 40421533. The reversal of 40421520 is 2512404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×404215202 = 3267798558220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40421493 and 40421502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21415 + ... + 23225.

Almost surely, 240421520 is an apocalyptic number.

40421520 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 40421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70102656).

40421520 is an abundant number, since it is smaller than the sum of its proper divisors (99783792).

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

40421520 is a wasteful number, since it uses less digits than its factorization.

40421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40421520 is about 6357.7920695789. The cubic root of 40421520 is about 343.1923091500.

Adding to 40421520 its reverse (2512404), we get a palindrome (42933924).

The spelling of 40421520 in words is "forty million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1811 1860 2232 2480 2790 3622 3720 4464 5433 5580 7244 7440 9055 10866 11160 14488 16299 18110 21732 22320 27165 28976 32598 36220 43464 54330 56141 65196 72440 81495 86928 108660 112282 130392 144880 162990 168423 217320 224564 260784 280705 325980 336846 434640 449128 505269 561410 651960 673692 842115 898256 1010538 1122820 1303920 1347384 1684230 2021076 2245640 2526345 2694768 3368460 4042152 4491280 5052690 6736920 8084304 10105380 13473840 20210760 40421520