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246242040 = 2335111011847
BaseRepresentation
bin11101010110101…
…01101011111000
3122011100101120120
432223111223320
51001014221130
640233453240
76050010552
oct1653255370
9564311516
10246242040
11116aa7320
126a571220
133c028065
14249bc4d2
1516940910
hexead5af8

246242040 has 128 divisors (see below), whose sum is σ = 814302720. Its totient is φ = 59072000.

The previous prime is 246242039. The next prime is 246242041. The reversal of 246242040 is 40242642.

It is an interprime number because it is at equal distance from previous prime (246242039) and next prime (246242041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 246242040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246242041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132397 + ... + 134243.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2246242040 is an apocalyptic number.

246242040 is a gapful number since it is divisible by the number (20) 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 246242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

246242040 is an abundant number, since it is smaller than the sum of its proper divisors (568060680).

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

246242040 is a wasteful number, since it uses less digits than its factorization.

246242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 246242040 is about 15692.1011977364. The cubic root of 246242040 is about 626.7880869801.

Adding to 246242040 its reverse (40242642), we get a palindrome (286484682).

The spelling of 246242040 in words is "two hundred forty-six million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 1847 2020 2222 2424 3030 3333 3694 4040 4444 5541 5555 6060 6666 7388 8888 9235 11082 11110 12120 13332 14776 16665 18470 20317 22164 22220 26664 27705 33330 36940 40634 44328 44440 55410 60951 66660 73880 81268 101585 110820 121902 133320 162536 186547 203170 221640 243804 304755 373094 406340 487608 559641 609510 746188 812680 932735 1119282 1219020 1492376 1865470 2052017 2238564 2438040 2798205 3730940 4104034 4477128 5596410 6156051 7461880 8208068 10260085 11192820 12312102 16416136 20520170 22385640 24624204 30780255 41040340 49248408 61560510 82080680 123121020 246242040