Search a number
-
+
40321120 = 2557237139
BaseRepresentation
bin1001100111010…
…0000001100000
32210212112011211
42121310001200
540310233440
64000115504
7666503200
oct231640140
983775154
1040321120
112083a944
1211605b94
138479a68
1454d8400
153816eea
hex2674060

40321120 has 144 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 13353984.

The previous prime is 40321117. The next prime is 40321121. The reversal of 40321120 is 2112304.

It is a self number, because there is not a number n which added to its sum of digits gives 40321120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40321121) 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, 290011 + ... + 290149.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 240321120 is an apocalyptic number.

40321120 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 40321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312360).

40321120 is an abundant number, since it is smaller than the sum of its proper divisors (74303600).

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

40321120 is a wasteful number, since it uses less digits than its factorization.

40321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40321120 is about 6349.8913376530. The cubic root of 40321120 is about 342.9079303072.

Adding to 40321120 its reverse (2112304), we get a palindrome (42433424).

The spelling of 40321120 in words is "forty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 70 74 80 98 112 139 140 148 160 185 196 224 245 259 278 280 296 370 392 490 518 556 560 592 695 740 784 973 980 1036 1112 1120 1184 1295 1390 1480 1568 1813 1946 1960 2072 2224 2590 2780 2960 3626 3892 3920 4144 4448 4865 5143 5180 5560 5920 6811 7252 7784 7840 8288 9065 9730 10286 10360 11120 13622 14504 15568 18130 19460 20572 20720 22240 25715 27244 29008 31136 34055 36001 36260 38920 41144 41440 51430 54488 58016 68110 72002 72520 77840 82288 102860 108976 136220 144004 145040 155680 164576 180005 205720 217952 252007 272440 288008 290080 360010 411440 504014 544880 576016 720020 822880 1008028 1089760 1152032 1260035 1440040 2016056 2520070 2880080 4032112 5040140 5760160 8064224 10080280 20160560 40321120