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1142850120 = 233547972089
BaseRepresentation
bin100010000011110…
…1000001001001000
32221122110210122020
41010013220021020
54320032200440
6305223124440
740215031356
oct10407501110
92848423566
101142850120
11537122235
1227a8a3720
13152a04899
14abad47d6
156a4ec3d0
hex441e8248

1142850120 has 128 divisors (see below), whose sum is σ = 3539289600. Its totient is φ = 295059456.

The previous prime is 1142850101. The next prime is 1142850139. The reversal of 1142850120 is 210582411.

It is an interprime number because it is at equal distance from previous prime (1142850101) and next prime (1142850139).

It is a super-2 number, since 2×11428501202 = 2612212793568028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 546036 + ... + 548124.

It is an arithmetic number, because the mean of its divisors is an integer number (27650700).

Almost surely, 21142850120 is an apocalyptic number.

1142850120 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 1142850120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769644800).

1142850120 is an abundant number, since it is smaller than the sum of its proper divisors (2396439480).

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

1142850120 is a wasteful number, since it uses less digits than its factorization.

1142850120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1142850120 is about 33806.0663195232. The cubic root of 1142850120 is about 1045.5137755799.

The spelling of 1142850120 in words is "one billion, one hundred forty-two million, eight hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 97 120 141 188 194 235 282 291 376 388 470 485 564 582 705 776 940 970 1128 1164 1410 1455 1880 1940 2089 2328 2820 2910 3880 4178 4559 5640 5820 6267 8356 9118 10445 11640 12534 13677 16712 18236 20890 22795 25068 27354 31335 36472 41780 45590 50136 54708 62670 68385 83560 91180 98183 109416 125340 136770 182360 196366 202633 250680 273540 294549 392732 405266 490915 547080 589098 607899 785464 810532 981830 1013165 1178196 1215798 1472745 1621064 1963660 2026330 2356392 2431596 2945490 3039495 3927320 4052660 4863192 5890980 6078990 8105320 9523751 11781960 12157980 19047502 24315960 28571253 38095004 47618755 57142506 76190008 95237510 114285012 142856265 190475020 228570024 285712530 380950040 571425060 1142850120