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142549120 = 275747677
BaseRepresentation
bin10000111111100…
…10000010000000
3100221020020122001
420133302002000
5242443032440
622051153344
73350435050
oct1037620200
9327206561
10142549120
117351329a
123b8a5854
13236c06bc
1414d09560
15c7abb9a
hex87f2080

142549120 has 128 divisors (see below), whose sum is σ = 398338560. Its totient is φ = 47763456.

The previous prime is 142549117. The next prime is 142549139. The reversal of 142549120 is 21945241.

142549120 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1425491202 = 40640503225548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210222 + ... + 210898.

It is an arithmetic number, because the mean of its divisors is an integer number (3112020).

Almost surely, 2142549120 is an apocalyptic number.

142549120 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 142549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199169280).

142549120 is an abundant number, since it is smaller than the sum of its proper divisors (255789440).

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

142549120 is an equidigital number, since it uses as much as digits as its factorization.

142549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 142549120 is about 11939.3936194432. The cubic root of 142549120 is about 522.3819716158.

The spelling of 142549120 in words is "one hundred forty-two million, five hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 280 320 329 376 448 470 560 640 658 677 752 896 940 1120 1316 1354 1504 1645 1880 2240 2632 2708 3008 3290 3385 3760 4480 4739 5264 5416 6016 6580 6770 7520 9478 10528 10832 13160 13540 15040 18956 21056 21664 23695 26320 27080 30080 31819 37912 42112 43328 47390 52640 54160 63638 75824 86656 94780 105280 108320 127276 151648 159095 189560 210560 216640 222733 254552 303296 318190 379120 433280 445466 509104 606592 636380 758240 890932 1018208 1113665 1272760 1516480 1781864 2036416 2227330 2545520 3032960 3563728 4072832 4454660 5091040 7127456 8909320 10182080 14254912 17818640 20364160 28509824 35637280 71274560 142549120