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142781340 = 223513214081
BaseRepresentation
bin10001000001010…
…10101110011100
3100221200001011210
420200222232130
5243023000330
622100144420
73352423062
oct1040525634
9327601153
10142781340
1173661809
123b998110
1323772300
1414d6a032
15c8058b0
hex882ab9c

142781340 has 72 divisors (see below), whose sum is σ = 432937008. Its totient is φ = 35143680.

The previous prime is 142781323. The next prime is 142781369. The reversal of 142781340 is 43187241.

It is a super-2 number, since 2×1427813402 = 40773022104391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142781298 and 142781307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (6013014).

Almost surely, 2142781340 is an apocalyptic number.

142781340 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 142781340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216468504).

142781340 is an abundant number, since it is smaller than the sum of its proper divisors (290155668).

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

142781340 is a wasteful number, since it uses less digits than its factorization.

142781340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14119 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 142781340 is about 11949.1146115518. The cubic root of 142781340 is about 522.6654802732.

The spelling of 142781340 in words is "one hundred forty-two million, seven hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 14081 28162 42243 56324 70405 84486 140810 168972 183053 211215 281620 366106 422430 549159 732212 844860 915265 1098318 1830530 2196636 2379689 2745795 3661060 4759378 5491590 7139067 9518756 10983180 11898445 14278134 23796890 28556268 35695335 47593780 71390670 142781340