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1243132440 = 2335116011567
BaseRepresentation
bin100101000011000…
…1011001000011000
310012122011200010020
41022012023020120
510021220214230
6323204350440
742543310554
oct11206131030
93178150106
101243132440
11588796890
122a83a5420
1316a716a34
14bb15a864
157420a810
hex4a18b218

1243132440 has 128 divisors (see below), whose sum is σ = 4077803520. Its totient is φ = 300672000.

The previous prime is 1243132427. The next prime is 1243132459. The reversal of 1243132440 is 442313421.

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 1243132440.

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 31 ways as a sum of consecutive naturals, for example, 792537 + ... + 794103.

It is an arithmetic number, because the mean of its divisors is an integer number (31857840).

Almost surely, 21243132440 is an apocalyptic number.

1243132440 is a gapful number since it is divisible by the number (10) 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 1243132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038901760).

1243132440 is an abundant number, since it is smaller than the sum of its proper divisors (2834671080).

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

1243132440 is a wasteful number, since it uses less digits than its factorization.

1243132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1243132440 is about 35258.0833285078. The cubic root of 1243132440 is about 1075.2409598665.

Adding to 1243132440 its reverse (442313421), we get a palindrome (1685445861).

The spelling of 1243132440 in words is "one billion, two hundred forty-three million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 601 660 1202 1320 1567 1803 2404 3005 3134 3606 4701 4808 6010 6268 6611 7212 7835 9015 9402 12020 12536 13222 14424 15670 17237 18030 18804 19833 23505 24040 26444 31340 33055 34474 36060 37608 39666 47010 51711 52888 62680 66110 68948 72120 79332 86185 94020 99165 103422 132220 137896 158664 172370 188040 198330 206844 258555 264440 344740 396660 413688 517110 689480 793320 941767 1034220 1883534 2068440 2825301 3767068 4708835 5650602 7534136 9417670 10359437 11301204 14126505 18835340 20718874 22602408 28253010 31078311 37670680 41437748 51797185 56506020 62156622 82875496 103594370 113012040 124313244 155391555 207188740 248626488 310783110 414377480 621566220 1243132440