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142665240 = 233541107271
BaseRepresentation
bin10001000000011…
…10011000011000
3100221110010220210
420200032120120
5243010241430
622053451120
73351430434
oct1040163030
9327403823
10142665240
1173592563
123b940aa0
1323731503
1414d399c4
15c7d12b0
hex880e618

142665240 has 128 divisors (see below), whose sum is σ = 444165120. Its totient is φ = 36633600.

The previous prime is 142665223. The next prime is 142665269. The reversal of 142665240 is 42566241.

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 = 142665198 and 142665207.

It is a congruent number.

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, 526305 + ... + 526575.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2142665240 is an apocalyptic number.

142665240 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 142665240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

142665240 is an abundant number, since it is smaller than the sum of its proper divisors (301499880).

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

142665240 is a wasteful number, since it uses less digits than its factorization.

142665240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 142665240 is about 11944.2555230537. The cubic root of 142665240 is about 522.5237766093.

It can be divided in two parts, 1426 and 65240, that added together give a palindrome (66666).

The spelling of 142665240 in words is "one hundred forty-two million, six hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 107 120 123 164 205 214 246 271 321 328 410 428 492 535 542 615 642 813 820 856 984 1070 1084 1230 1284 1355 1605 1626 1640 2140 2168 2460 2568 2710 3210 3252 4065 4280 4387 4920 5420 6420 6504 8130 8774 10840 11111 12840 13161 16260 17548 21935 22222 26322 28997 32520 33333 35096 43870 44444 52644 55555 57994 65805 66666 86991 87740 88888 105288 111110 115988 131610 133332 144985 166665 173982 175480 222220 231976 263220 266664 289970 333330 347964 434955 444440 526440 579940 666660 695928 869910 1159880 1188877 1333320 1739820 2377754 3479640 3566631 4755508 5944385 7133262 9511016 11888770 14266524 17833155 23777540 28533048 35666310 47555080 71332620 142665240