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40381560 = 23325234877
BaseRepresentation
bin1001101000001…
…0110001111000
32210222121002100
42122002301320
540314202220
64001303400
71000144332
oct232026170
983877070
1040381560
112088129a
1211634b60
13849b41b
145512452
153829d90
hex2682c78

40381560 has 96 divisors (see below), whose sum is σ = 136974240. Its totient is φ = 10298112.

The previous prime is 40381531. The next prime is 40381577. The reversal of 40381560 is 6518304.

It is a congruent number.

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, 5842 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (1426815).

Almost surely, 240381560 is an apocalyptic number.

40381560 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 40381560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68487120).

40381560 is an abundant number, since it is smaller than the sum of its proper divisors (96592680).

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

40381560 is a wasteful number, since it uses less digits than its factorization.

40381560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40381560 is about 6354.6486920994. The cubic root of 40381560 is about 343.0791805799.

Adding to 40381560 its reverse (6518304), we get a palindrome (46899864).

The spelling of 40381560 in words is "forty million, three hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 4877 8280 9754 14631 19508 24385 29262 39016 43893 48770 58524 73155 87786 97540 112171 117048 146310 175572 195080 219465 224342 292620 336513 351144 438930 448684 560855 585240 673026 877860 897368 1009539 1121710 1346052 1682565 1755720 2019078 2243420 2692104 3365130 4038156 4486840 5047695 6730260 8076312 10095390 13460520 20190780 40381560