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143084240 = 24513178093
BaseRepresentation
bin10001000011101…
…00101011010000
3100222020102200022
420201310223100
5243112143430
622110443012
73355124135
oct1041645320
9328212608
10143084240
1173849342
123bb03468
132384a140
141500858c
15c8654e5
hex8874ad0

143084240 has 80 divisors (see below), whose sum is σ = 379381968. Its totient is φ = 49717248.

The previous prime is 143084239. The next prime is 143084273. The reversal of 143084240 is 42480341.

It can be written as a sum of positive squares in 8 ways, for example, as 3182656 + 139901584 = 1784^2 + 11828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13634 + ... + 21726.

Almost surely, 2143084240 is an apocalyptic number.

143084240 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 143084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189690984).

143084240 is an abundant number, since it is smaller than the sum of its proper divisors (236297728).

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

143084240 is a wasteful number, since it uses less digits than its factorization.

143084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 143084240 is about 11961.7824758687. The cubic root of 143084240 is about 523.0348178778.

The spelling of 143084240 in words is "one hundred forty-three million, eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8093 8840 16186 17680 32372 40465 64744 80930 105209 129488 137581 161860 210418 275162 323720 420836 526045 550324 647440 687905 841672 1052090 1100648 1375810 1683344 1788553 2104180 2201296 2751620 3577106 4208360 5503240 7154212 8416720 8942765 11006480 14308424 17885530 28616848 35771060 71542120 143084240