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40241400 = 23352471427
BaseRepresentation
bin1001100110000…
…0100011111000
32210201110211020
42121200203320
540300211100
63554302440
7666021603
oct231404370
983643736
1040241400
1120795a61
1211587a20
13844c6a4
1454b733a
1537ed5a0
hex26608f8

40241400 has 96 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 10495360.

The previous prime is 40241381. The next prime is 40241401. The reversal of 40241400 is 414204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40241400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40241401) by changing a digit.

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, 27487 + ... + 28913.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 240241400 is an apocalyptic number.

40241400 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 40241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

40241400 is an abundant number, since it is smaller than the sum of its proper divisors (87250440).

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

40241400 is a wasteful number, since it uses less digits than its factorization.

40241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40241400 is about 6343.6109590674. The cubic root of 40241400 is about 342.6817902924.

Adding to 40241400 its reverse (414204), we get a palindrome (40655604).

The spelling of 40241400 in words is "forty million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1427 1880 2350 2820 2854 3525 4281 4700 5640 5708 7050 7135 8562 9400 11416 14100 14270 17124 21405 28200 28540 34248 35675 42810 57080 67069 71350 85620 107025 134138 142700 171240 201207 214050 268276 285400 335345 402414 428100 536552 670690 804828 856200 1006035 1341380 1609656 1676725 2012070 2682760 3353450 4024140 5030175 6706900 8048280 10060350 13413800 20120700 40241400