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143092040 = 235713192069
BaseRepresentation
bin10001000011101…
…10100101001000
3100222020211101012
420201312211020
5243112421130
622110543052
73355155650
oct1041664510
9328224335
10143092040
1173854193
123bb07a88
1323850860
141500b360
15c867995
hex8876948

143092040 has 128 divisors (see below), whose sum is σ = 417312000. Its totient is φ = 42882048.

The previous prime is 143092007. The next prime is 143092049. The reversal of 143092040 is 40290341.

143092040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1430920402 = 40950663822723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143091997 and 143092015.

It is not an unprimeable number, because it can be changed into a prime (143092049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68126 + ... + 70194.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 2143092040 is an apocalyptic number.

143092040 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 143092040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656000).

143092040 is an abundant number, since it is smaller than the sum of its proper divisors (274219960).

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

143092040 is a wasteful number, since it uses less digits than its factorization.

143092040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 143092040 is about 11962.1085097904. The cubic root of 143092040 is about 523.0443218303.

It can be divided in two parts, 1430 and 92040, that multiplied together give a triangular number (131617200 = T16224).

The spelling of 143092040 in words is "one hundred forty-three million, ninety-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2069 2470 2660 3458 3640 4138 4940 5320 6916 8276 8645 9880 10345 13832 14483 16552 17290 20690 26897 28966 34580 39311 41380 53794 57932 69160 72415 78622 82760 107588 115864 134485 144830 157244 188279 196555 215176 268970 275177 289660 314488 376558 393110 511043 537940 550354 579320 753116 786220 941395 1022086 1075880 1100708 1375885 1506232 1572440 1882790 2044172 2201416 2555215 2751770 3577301 3765580 4088344 5110430 5503540 7154602 7531160 10220860 11007080 14309204 17886505 20441720 28618408 35773010 71546020 143092040