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1142356480 = 2951726249
BaseRepresentation
bin100010000010110…
…1111101000000000
32221121112201111021
41010011233220000
54314420401410
6305204355224
740210604236
oct10405575000
92847481437
101142356480
11536915371
1227a6a5b14
13152890ca5
14aba06956
156a450eda
hex4416fa00

1142356480 has 80 divisors (see below), whose sum is σ = 2900205000. Its totient is φ = 430047232.

The previous prime is 1142356477. The next prime is 1142356493. The reversal of 1142356480 is 846532411.

It can be written as a sum of positive squares in 4 ways, for example, as 1108623616 + 33732864 = 33296^2 + 5808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 30396 + ... + 56644.

Almost surely, 21142356480 is an apocalyptic number.

1142356480 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 1142356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450102500).

1142356480 is an abundant number, since it is smaller than the sum of its proper divisors (1757848520).

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

1142356480 is an equidigital number, since it uses as much as digits as its factorization.

1142356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26289 (or 26273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1142356480 is about 33798.7644744597. The cubic root of 1142356480 is about 1045.3632216453.

Adding to 1142356480 its reverse (846532411), we get a palindrome (1988888891).

The spelling of 1142356480 in words is "one billion, one hundred forty-two million, three hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 26249 43520 52498 104996 131245 209992 262490 419984 446233 524980 839968 892466 1049960 1679936 1784932 2099920 2231165 3359872 3569864 4199840 4462330 6719744 7139728 8399680 8924660 13439488 14279456 16799360 17849320 28558912 33598720 35698640 57117824 67197440 71397280 114235648 142794560 228471296 285589120 571178240 1142356480