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40811220 = 223251713337
BaseRepresentation
bin1001101110101…
…1101011010100
32211210102110200
42123223223110
540421424340
64014420500
71003614102
oct233535324
984712420
1040811220
112104508a
1211801730
1385bbb68
1455c4c72
1538b2330
hex26ebad4

40811220 has 72 divisors (see below), whose sum is σ = 131085864. Its totient is φ = 10242048.

The previous prime is 40811209. The next prime is 40811231. The reversal of 40811220 is 2211804.

It is an interprime number because it is at equal distance from previous prime (40811209) and next prime (40811231).

It can be written as a sum of positive squares in 4 ways, for example, as 4955076 + 35856144 = 2226^2 + 5988^2 .

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 = 40811193 and 40811202.

It is a congruent number.

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, 3609 + ... + 9728.

It is an arithmetic number, because the mean of its divisors is an integer number (1820637).

Almost surely, 240811220 is an apocalyptic number.

It is an amenable number.

40811220 is an abundant number, since it is smaller than the sum of its proper divisors (90274644).

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

40811220 is a wasteful number, since it uses less digits than its factorization.

40811220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40811220 is about 6388.3659882634. The cubic root of 40811220 is about 344.2916784310.

It can be divided in two parts, 408 and 11220, that added together give a triangular number (11628 = T152).

The spelling of 40811220 in words is "forty million, eight hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 13337 26674 40011 53348 66685 80022 120033 133370 160044 200055 226729 240066 266740 400110 453458 480132 600165 680187 800220 906916 1133645 1200330 1360374 2040561 2267290 2400660 2720748 3400935 4081122 4534580 6801870 8162244 10202805 13603740 20405610 40811220