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1142532440 = 235761151443
BaseRepresentation
bin100010000011001…
…1010100101011000
32221121212122212022
41010012122211120
54314442014230
6305212234012
740212236240
oct10406324530
92847778768
101142532440
11536a25595
1227a76b908
131529230ca
14aba50b20
156a4881e5
hex4419a958

1142532440 has 128 divisors (see below), whose sum is σ = 3012664320. Its totient is φ = 381888000.

The previous prime is 1142532421. The next prime is 1142532451. The reversal of 1142532440 is 442352411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578859 + ... + 2579301.

It is an arithmetic number, because the mean of its divisors is an integer number (23536440).

Almost surely, 21142532440 is an apocalyptic number.

1142532440 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 1142532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506332160).

1142532440 is an abundant number, since it is smaller than the sum of its proper divisors (1870131880).

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

1142532440 is a wasteful number, since it uses less digits than its factorization.

1142532440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1142532440 is about 33801.3674279607. The cubic root of 1142532440 is about 1045.4168921857.

Adding to 1142532440 its reverse (442352411), we get a palindrome (1584884851).

The spelling of 1142532440 in words is "one billion, one hundred forty-two million, five hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 151 244 280 302 305 427 443 488 604 610 755 854 886 1057 1208 1220 1510 1708 1772 2114 2135 2215 2440 3020 3101 3416 3544 4228 4270 4430 5285 6040 6202 8456 8540 8860 9211 10570 12404 15505 17080 17720 18422 21140 24808 27023 31010 36844 42280 46055 54046 62020 64477 66893 73688 92110 108092 124040 128954 133786 135115 184220 189161 216184 257908 267572 270230 322385 334465 368440 378322 468251 515816 535144 540460 644770 668930 756644 936502 945805 1080920 1289540 1337860 1513288 1873004 1891610 2341255 2579080 2675720 3746008 3783220 4080473 4682510 7566440 8160946 9365020 16321892 18730040 20402365 28563311 32643784 40804730 57126622 81609460 114253244 142816555 163218920 228506488 285633110 571266220 1142532440