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40520900 = 22527107541
BaseRepresentation
bin1001101010010…
…0110011000100
32211020200020002
42122210303010
540333132100
64004300432
71001264510
oct232446304
984220202
1040520900
1120966a52
12116a1718
138519984
14554b140
1538562d5
hex26a4cc4

40520900 has 72 divisors (see below), whose sum is σ = 101618496. Its totient is φ = 13737600.

The previous prime is 40520881. The next prime is 40520923. The reversal of 40520900 is 902504.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 74630 + ... + 75170.

It is an arithmetic number, because the mean of its divisors is an integer number (1411368).

Almost surely, 240520900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50809248).

40520900 is an abundant number, since it is smaller than the sum of its proper divisors (61097596).

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

40520900 is a wasteful number, since it uses less digits than its factorization.

40520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 40520900 is about 6365.6028779684. The cubic root of 40520900 is about 343.4733355152.

The spelling of 40520900 in words is "forty million, five hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 541 700 749 1070 1082 1498 2140 2164 2675 2705 2996 3745 3787 5350 5410 7490 7574 10700 10820 13525 14980 15148 18725 18935 27050 37450 37870 54100 57887 74900 75740 94675 115774 189350 231548 289435 378700 405209 578870 810418 1157740 1447175 1620836 2026045 2894350 4052090 5788700 8104180 10130225 20260450 40520900