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1142328200 = 235213439357
BaseRepresentation
bin100010000010110…
…1000101110001000
32221121111021200212
41010011220232020
54314414000300
6305204020252
740210425626
oct10405505610
92847437625
101142328200
115368a60a2
1227a691688
13152881160
14ab9da516
156a447935
hex44168b88

1142328200 has 48 divisors (see below), whose sum is σ = 2860220580. Its totient is φ = 421781760.

The previous prime is 1142328193. The next prime is 1142328211. The reversal of 1142328200 is 28232411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18335524 + 1123992676 = 4282^2 + 33526^2 .

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 11 ways as a sum of consecutive naturals, for example, 217079 + ... + 222278.

Almost surely, 21142328200 is an apocalyptic number.

1142328200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142328200 is an abundant number, since it is smaller than the sum of its proper divisors (1717892380).

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

1142328200 is a wasteful number, since it uses less digits than its factorization.

1142328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439386 (or 439377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1142328200 is about 33798.3461133825. The cubic root of 1142328200 is about 1045.3545952908.

The spelling of 1142328200 in words is "one billion, one hundred forty-two million, three hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 439357 878714 1757428 2196785 3514856 4393570 5711641 8787140 10983925 11423282 17574280 21967850 22846564 28558205 43935700 45693128 57116410 87871400 114232820 142791025 228465640 285582050 571164100 1142328200