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40939920 = 2432578123
BaseRepresentation
bin1001110000101…
…1000110010000
32212000222000100
42130023012100
540440034140
64021252400
71004661240
oct234130620
985028010
1040939920
112112284a
1211864100
138635608
145619b20
1538da530
hex270b190

40939920 has 120 divisors (see below), whose sum is σ = 157150656. Its totient is φ = 9356544.

The previous prime is 40939907. The next prime is 40939937. The reversal of 40939920 is 2993904.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979 + ... + 9101.

Almost surely, 240939920 is an apocalyptic number.

40939920 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 40939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78575328).

40939920 is an abundant number, since it is smaller than the sum of its proper divisors (116210736).

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

40939920 is a wasteful number, since it uses less digits than its factorization.

40939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 40939920 is about 6398.4310576891. The cubic root of 40939920 is about 344.6532117074.

The spelling of 40939920 in words is "forty million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 8123 16246 24369 32492 40615 48738 56861 64984 73107 81230 97476 113722 121845 129968 146214 162460 170583 194952 227444 243690 284305 292428 324920 341166 365535 389904 454888 487380 511749 568610 584856 649840 682332 731070 852915 909776 974760 1023498 1137220 1169712 1364664 1462140 1705830 1949520 2046996 2274440 2558745 2729328 2924280 3411660 4093992 4548880 5117490 5848560 6823320 8187984 10234980 13646640 20469960 40939920