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1142525040 = 2435892601
BaseRepresentation
bin100010000011001…
…1000110001110000
32221121212021201020
41010012120301300
54314441300130
6305212135440
740212205536
oct10406306160
92847767636
101142525040
11536a1aa78
1227a767580
1315291c927
14aba4c156
156a485e10
hex44198c70

1142525040 has 120 divisors (see below), whose sum is σ = 3588030768. Its totient is φ = 300748800.

The previous prime is 1142525011. The next prime is 1142525089. The reversal of 1142525040 is 405252411.

1142525040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 1142525040.

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, 1900740 + ... + 1901340.

Almost surely, 21142525040 is an apocalyptic number.

1142525040 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 1142525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794015384).

1142525040 is an abundant number, since it is smaller than the sum of its proper divisors (2445505728).

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

1142525040 is an equidigital number, since it uses as much as digits as its factorization.

1142525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1142525040 is about 33801.2579647563. The cubic root of 1142525040 is about 1045.4146351815.

Adding to 1142525040 its reverse (405252411), we get a palindrome (1547777451).

The spelling of 1142525040 in words is "one billion, one hundred forty-two million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 601 712 890 1068 1202 1335 1424 1780 1803 2136 2404 2670 3005 3560 3606 4272 4808 5340 6010 7120 7212 7921 9015 9616 10680 12020 14424 15842 18030 21360 23763 24040 28848 31684 36060 39605 47526 48080 53489 63368 72120 79210 95052 106978 118815 126736 144240 158420 160467 190104 213956 237630 267445 316840 320934 380208 427912 475260 534890 633680 641868 802335 855824 950520 1069780 1283736 1604670 1901040 2139560 2567472 3209340 4279120 4760521 6418680 9521042 12837360 14281563 19042084 23802605 28563126 38084168 47605210 57126252 71407815 76168336 95210420 114252504 142815630 190420840 228505008 285631260 380841680 571262520 1142525040