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40531980 = 22352321277
BaseRepresentation
bin1001101010011…
…1100000001100
32211021020102110
42122213200030
540334010410
64004424020
71001342016
oct232474014
984236373
1040531980
1120974305
12116a8010
138521a28
1455511b6
153859720
hex26a780c

40531980 has 72 divisors (see below), whose sum is σ = 118731312. Its totient is φ = 10330496.

The previous prime is 40531979. The next prime is 40531993. The reversal of 40531980 is 8913504.

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 23 ways as a sum of consecutive naturals, for example, 31102 + ... + 32378.

It is an arithmetic number, because the mean of its divisors is an integer number (1649046).

Almost surely, 240531980 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 40531980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59365656).

40531980 is an abundant number, since it is smaller than the sum of its proper divisors (78199332).

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

40531980 is a wasteful number, since it uses less digits than its factorization.

40531980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 40531980 is about 6366.4731209674. The cubic root of 40531980 is about 343.5046390132.

It can be divided in two parts, 405 and 31980, that added together give a triangular number (32385 = T254).

The spelling of 40531980 in words is "forty million, five hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1277 1380 1587 2116 2554 2645 3174 3831 5108 5290 6348 6385 7662 7935 10580 12770 15324 15870 19155 25540 29371 31740 38310 58742 76620 88113 117484 146855 176226 293710 352452 440565 587420 675533 881130 1351066 1762260 2026599 2702132 3377665 4053198 6755330 8106396 10132995 13510660 20265990 40531980