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40876920 = 2333575407
BaseRepresentation
bin1001101111101…
…1101101111000
32211220202121000
42123323231320
540431030140
64020045000
71004306460
oct233735570
984822530
1040876920
112108a487
1211833760
138612a36
145600ba0
1538c6a30
hex26fbb78

40876920 has 128 divisors (see below), whose sum is σ = 155750400. Its totient is φ = 9341568.

The previous prime is 40876883. The next prime is 40876937. The reversal of 40876920 is 2967804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4857 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (1216800).

Almost surely, 240876920 is an apocalyptic number.

40876920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40876920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77875200).

40876920 is an abundant number, since it is smaller than the sum of its proper divisors (114873480).

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

40876920 is a wasteful number, since it uses less digits than its factorization.

40876920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40876920 is about 6393.5060803913. The cubic root of 40876920 is about 344.4763321925.

The spelling of 40876920 in words is "forty million, eight hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 5407 7560 10814 16221 21628 27035 32442 37849 43256 48663 54070 64884 75698 81105 97326 108140 113547 129768 145989 151396 162210 189245 194652 216280 227094 243315 291978 302792 324420 340641 378490 389304 454188 486630 567735 583956 648840 681282 729945 756980 908376 973260 1021923 1135470 1167912 1362564 1459890 1513960 1703205 1946520 2043846 2270940 2725128 2919780 3406410 4087692 4541880 5109615 5839560 6812820 8175384 10219230 13625640 20438460 40876920