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1142003200 = 2952136863
BaseRepresentation
bin100010000010001…
…1001011000000000
32221120212202212211
41010010121120000
54314323100300
6305153031504
740204603252
oct10404313000
92846782784
101142003200
115366a39a8
1227a555594
13152799250
14ab953cd2
156a3d14ba
hex44119600

1142003200 has 120 divisors (see below), whose sum is σ = 3047492448. Its totient is φ = 421601280.

The previous prime is 1142003147. The next prime is 1142003207. The reversal of 1142003200 is 23002411.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142003207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162969 + ... + 169831.

Almost surely, 21142003200 is an apocalyptic number.

1142003200 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 1142003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523746224).

1142003200 is an abundant number, since it is smaller than the sum of its proper divisors (1905489248).

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

1142003200 is an equidigital number, since it uses as much as digits as its factorization.

1142003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1142003200 is about 33793.5378437949. The cubic root of 1142003200 is about 1045.2554491003.

Adding to 1142003200 its reverse (23002411), we get a palindrome (1165005611).

The spelling of 1142003200 in words is "one billion, one hundred forty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5200 6400 6656 6863 8320 10400 12800 13726 16640 20800 27452 33280 34315 41600 54904 68630 83200 89219 109808 137260 166400 171575 178438 219616 274520 343150 356876 439232 446095 549040 686300 713752 878464 892190 1098080 1372600 1427504 1756928 1784380 2196160 2230475 2745200 2855008 3513856 3568760 4392320 4460950 5490400 5710016 7137520 8784640 8921900 10980800 11420032 14275040 17569280 17843800 21961600 22840064 28550080 35687600 43923200 45680128 57100160 71375200 87846400 114200320 142750400 228400640 285500800 571001600 1142003200