Search a number
-
+
1142396320 = 25513549229
BaseRepresentation
bin100010000010111…
…1001010110100000
32221121121202010211
41010011321112200
54314423140240
6305205303504
740211131342
oct10405712640
92847552124
101142396320
1153694229a
1227a704b94
131528a6170
14aba17292
156a45cbea
hex441795a0

1142396320 has 48 divisors (see below), whose sum is σ = 2906525160. Its totient is φ = 421807104.

The previous prime is 1142396317. The next prime is 1142396323. The reversal of 1142396320 is 236932411.

It is an interprime number because it is at equal distance from previous prime (1142396317) and next prime (1142396323).

It can be written as a sum of positive squares in 4 ways, for example, as 383063184 + 759333136 = 19572^2 + 27556^2 .

It is not an unprimeable number, because it can be changed into a prime (1142396323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272535 + ... + 276694.

Almost surely, 21142396320 is an apocalyptic number.

1142396320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142396320 is an abundant number, since it is smaller than the sum of its proper divisors (1764128840).

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

1142396320 is a wasteful number, since it uses less digits than its factorization.

1142396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549257 (or 549249 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 1142396320 is about 33799.3538399775. The cubic root of 1142396320 is about 1045.3753739484.

The spelling of 1142396320 in words is "one billion, one hundred forty-two million, three hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 549229 1098458 2196916 2746145 4393832 5492290 7139977 8787664 10984580 14279954 17575328 21969160 28559908 35699885 43938320 57119816 71399770 87876640 114239632 142799540 228479264 285599080 571198160 1142396320