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40106920 = 2357143239
BaseRepresentation
bin1001100011111…
…1101110101000
32210110122100111
42120333232220
540231410140
63551344104
7664621540
oct230775650
983418314
1040106920
1120703a17
1211522034
138403409
145480320
1537c37ea
hex263fba8

40106920 has 32 divisors (see below), whose sum is σ = 103132800. Its totient is φ = 13750848.

The previous prime is 40106909. The next prime is 40106953. The reversal of 40106920 is 2960104.

It is a junction number, because it is equal to n+sod(n) for n = 40106891 and 40106900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71340 + ... + 71899.

It is an arithmetic number, because the mean of its divisors is an integer number (3222900).

Almost surely, 240106920 is an apocalyptic number.

40106920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40106920 is an abundant number, since it is smaller than the sum of its proper divisors (63025880).

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

40106920 is a wasteful number, since it uses less digits than its factorization.

40106920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143257 (or 143253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 40106920 is about 6333.0024474968. The cubic root of 40106920 is about 342.2996359480.

The spelling of 40106920 in words is "forty million, one hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 143239 286478 572956 716195 1002673 1145912 1432390 2005346 2864780 4010692 5013365 5729560 8021384 10026730 20053460 40106920