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1142471000 = 235311283367
BaseRepresentation
bin100010000011000…
…1011100101011000
32221121202112120202
41010012023211120
54314433033000
6305211041332
740211562146
oct10406134530
92847675522
101142471000
11536993410
1227a740248
13152901158
14aba36596
156a474dd5
hex4418b958

1142471000 has 128 divisors (see below), whose sum is σ = 2934696960. Its totient is φ = 412848000.

The previous prime is 1142470961. The next prime is 1142471023. The reversal of 1142471000 is 1742411.

It is a super-3 number, since 3×11424710003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3112817 + ... + 3113183.

It is an arithmetic number, because the mean of its divisors is an integer number (22927320).

Almost surely, 21142471000 is an apocalyptic number.

1142471000 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 1142471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467348480).

1142471000 is an abundant number, since it is smaller than the sum of its proper divisors (1792225960).

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

1142471000 is a wasteful number, since it uses less digits than its factorization.

1142471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1142471000 is about 33800.4585767708. The cubic root of 1142471000 is about 1045.3981526550.

The spelling of 1142471000 in words is "one billion, one hundred forty-two million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 283 367 440 500 550 566 734 1000 1100 1132 1375 1415 1468 1835 2200 2264 2750 2830 2936 3113 3670 4037 5500 5660 6226 7075 7340 8074 9175 11000 11320 12452 14150 14680 15565 16148 18350 20185 24904 28300 31130 32296 35375 36700 40370 45875 56600 62260 70750 73400 77825 80740 91750 100925 103861 124520 141500 155650 161480 183500 201850 207722 283000 311300 367000 389125 403700 415444 504625 519305 622600 778250 807400 830888 1009250 1038610 1142471 1556500 2018500 2077220 2284942 2596525 3113000 4037000 4154440 4569884 5193050 5712355 9139768 10386100 11424710 12982625 20772200 22849420 25965250 28561775 45698840 51930500 57123550 103861000 114247100 142808875 228494200 285617750 571235500 1142471000