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142985520 = 24335531249
BaseRepresentation
bin10001000010111…
…00100100110000
3100222001102021000
420201130210300
5243101014040
622104402000
73354233256
oct1041344460
9328042230
10142985520
1173791157
123ba76300
1323814222
1414dc05d6
15c846130
hex885c930

142985520 has 160 divisors (see below), whose sum is σ = 502200000. Its totient is φ = 37380096.

The previous prime is 142985509. The next prime is 142985533. The reversal of 142985520 is 25589241.

142985520 is a `hidden beast` number, since 1 + 42 + 98 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 113856 + ... + 115104.

It is an arithmetic number, because the mean of its divisors is an integer number (3138750).

Almost surely, 2142985520 is an apocalyptic number.

142985520 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 142985520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251100000).

142985520 is an abundant number, since it is smaller than the sum of its proper divisors (359214480).

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

142985520 is a wasteful number, since it uses less digits than its factorization.

142985520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 142985520 is about 11957.6552885589. The cubic root of 142985520 is about 522.9145020959.

The spelling of 142985520 in words is "one hundred forty-two million, nine hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1249 1272 1431 1590 1908 2120 2160 2385 2498 2544 2862 3180 3747 3816 4240 4770 4996 5724 6245 6360 7155 7494 7632 9540 9992 11241 11448 12490 12720 14310 14988 18735 19080 19984 22482 22896 24980 28620 29976 33723 37470 38160 44964 49960 56205 57240 59952 66197 67446 74940 89928 99920 112410 114480 132394 134892 149880 168615 179856 198591 224820 264788 269784 299760 330985 337230 397182 449640 529576 539568 595773 661970 674460 794364 899280 992955 1059152 1191546 1323940 1348920 1588728 1787319 1985910 2383092 2647880 2697840 2978865 3177456 3574638 3971820 4766184 5295760 5957730 7149276 7943640 8936595 9532368 11915460 14298552 15887280 17873190 23830920 28597104 35746380 47661840 71492760 142985520