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40117320 = 23325472371
BaseRepresentation
bin1001100100001…
…0010001001000
32210111011121200
42121002101020
540232223240
63551504200
7664664055
oct231022110
983434550
1040117320
1120710811
1211528060
138408079
14548402c
1537c6930
hex2642448

40117320 has 96 divisors (see below), whose sum is σ = 133211520. Its totient is φ = 10465920.

The previous prime is 40117307. The next prime is 40117327. The reversal of 40117320 is 2371104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40117293 and 40117302.

It is not an unprimeable number, because it can be changed into a prime (40117327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15735 + ... + 18105.

It is an arithmetic number, because the mean of its divisors is an integer number (1387620).

Almost surely, 240117320 is an apocalyptic number.

40117320 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 40117320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66605760).

40117320 is an abundant number, since it is smaller than the sum of its proper divisors (93094200).

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

40117320 is a wasteful number, since it uses less digits than its factorization.

40117320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40117320 is about 6333.8234898046. The cubic root of 40117320 is about 342.3292202737.

Adding to 40117320 its reverse (2371104), we get a palindrome (42488424).

The spelling of 40117320 in words is "forty million, one hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2371 2820 3384 4230 4742 5640 7113 8460 9484 11855 14226 16920 18968 21339 23710 28452 35565 42678 47420 56904 71130 85356 94840 106695 111437 142260 170712 213390 222874 284520 334311 426780 445748 557185 668622 853560 891496 1002933 1114370 1337244 1671555 2005866 2228740 2674488 3343110 4011732 4457480 5014665 6686220 8023464 10029330 13372440 20058660 40117320