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1142053000 = 235311473
BaseRepresentation
bin100010000010010…
…0101100010001000
32221120222022012021
41010010211202020
54314331144000
6305154054224
740205201404
oct10404454210
92846868167
101142053000
11536728360
1227a57a374
131527b5b0a
14ab968104
156a3e111a
hex44125888

1142053000 has 128 divisors (see below), whose sum is σ = 2978726400. Its totient is φ = 406456000.

The previous prime is 1142052983. The next prime is 1142053021. The reversal of 1142053000 is 3502411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24298977 + ... + 24299023.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 21142053000 is an apocalyptic number.

1142053000 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 1142053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489363200).

1142053000 is an abundant number, since it is smaller than the sum of its proper divisors (1836673400).

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

1142053000 is an frugal number, since it uses more digits than its factorization.

1142053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1142053000 is about 33794.2746630254. The cubic root of 1142053000 is about 1045.2706425676.

Adding to 1142053000 its reverse (3502411), we get a palindrome (1145555411).

The spelling of 1142053000 in words is "one billion, one hundred forty-two million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2209 2350 2585 2750 4136 4418 4700 5170 5500 5875 8836 9400 10340 11000 11045 11750 12925 17672 20680 22090 23500 24299 25850 44180 47000 48598 51700 55225 64625 88360 97196 103400 103823 110450 121495 129250 194392 207646 220900 242990 258500 276125 415292 441800 485980 517000 519115 552250 607475 830584 971960 1038230 1104500 1142053 1214950 2076460 2209000 2284106 2429900 2595575 3037375 4152920 4568212 4859800 5191150 5710265 6074750 9136424 10382300 11420530 12149500 12977875 20764600 22841060 24299000 25955750 28551325 45682120 51911500 57102650 103823000 114205300 142756625 228410600 285513250 571026500 1142053000