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40561680 = 2435169007
BaseRepresentation
bin1001101010111…
…0110000010000
32211022202011110
42122232300100
540340433210
64005213320
71001524425
oct232566020
984282143
1040561680
1120994655
1211701240
1385323c3
14555bd4c
153863420
hex26aec10

40561680 has 40 divisors (see below), whose sum is σ = 125741952. Its totient is φ = 10816384.

The previous prime is 40561679. The next prime is 40561699. The reversal of 40561680 is 8616504.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 84264 + ... + 84743.

Almost surely, 240561680 is an apocalyptic number.

40561680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40561680 is an abundant number, since it is smaller than the sum of its proper divisors (85180272).

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

40561680 is a wasteful number, since it uses less digits than its factorization.

40561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169023 (or 169017 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40561680 is about 6368.8052254720. The cubic root of 40561680 is about 343.5885200780.

The spelling of 40561680 in words is "forty million, five hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 169007 338014 507021 676028 845035 1014042 1352056 1690070 2028084 2535105 2704112 3380140 4056168 5070210 6760280 8112336 10140420 13520560 20280840 40561680