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1142432320 = 26517092089
BaseRepresentation
bin100010000011000…
…0010001001000000
32221121200120112011
41010012002021000
54314430313240
6305210142304
740211341321
oct10406021100
92847616464
101142432320
11536967347
1227a721994
131528b9673
14aba26448
156a4686ea
hex44182240

1142432320 has 56 divisors (see below), whose sum is σ = 2723311800. Its totient is φ = 456486912.

The previous prime is 1142432257. The next prime is 1142432321. The reversal of 1142432320 is 232342411.

It can be written as a sum of positive squares in 4 ways, for example, as 149426176 + 993006144 = 12224^2 + 31512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1142432291 and 1142432300.

It is not an unprimeable number, because it can be changed into a prime (1142432321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545836 + ... + 547924.

Almost surely, 21142432320 is an apocalyptic number.

1142432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142432320 is an abundant number, since it is smaller than the sum of its proper divisors (1580879480).

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

1142432320 is a wasteful number, since it uses less digits than its factorization.

1142432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1142432320 is about 33799.8863903416. The cubic root of 1142432320 is about 1045.3863547022.

Adding to 1142432320 its reverse (232342411), we get a palindrome (1374774731).

The spelling of 1142432320 in words is "one billion, one hundred forty-two million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1709 2089 3418 4178 6836 8356 8545 10445 13672 16712 17090 20890 27344 33424 34180 41780 54688 66848 68360 83560 109376 133696 136720 167120 273440 334240 546880 668480 3570101 7140202 14280404 17850505 28560808 35701010 57121616 71402020 114243232 142804040 228486464 285608080 571216160 1142432320