Search a number
-
+
142354260 = 22355171723
BaseRepresentation
bin10000111110000…
…10011101010100
3100220212100100000
420133002131110
5242420314020
622043051300
73345663666
oct1037023524
9326770300
10142354260
117339a954
123b810b30
1323652ab9
1414c98536
15c76e090
hex87c2754

142354260 has 144 divisors (see below), whose sum is σ = 474417216. Its totient is φ = 35707392.

The previous prime is 142354253. The next prime is 142354313. The reversal of 142354260 is 62453241.

142354260 is a `hidden beast` number, since 1 + 4 + 235 + 426 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81759 + ... + 83481.

It is an arithmetic number, because the mean of its divisors is an integer number (3294564).

Almost surely, 2142354260 is an apocalyptic number.

142354260 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 142354260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237208608).

142354260 is an abundant number, since it is smaller than the sum of its proper divisors (332062956).

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

142354260 is a wasteful number, since it uses less digits than its factorization.

142354260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142354260 is about 11931.2304478625. The cubic root of 142354260 is about 522.1438367000.

The spelling of 142354260 in words is "one hundred forty-two million, three hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1723 1836 2295 2430 2754 3060 3446 4131 4590 4860 5169 5508 6885 6892 8262 8615 9180 10338 13770 15507 16524 17230 20655 20676 25845 27540 29291 31014 34460 41310 46521 51690 58582 62028 77535 82620 87873 93042 103380 117164 139563 146455 155070 175746 186084 232605 263619 279126 292910 310140 351492 418689 439365 465210 527238 558252 585820 697815 790857 837378 878730 930420 1054476 1318095 1395630 1581714 1674756 1757460 2093445 2372571 2636190 2791260 3163428 3954285 4186890 4745142 5272380 7117713 7908570 8373780 9490284 11862855 14235426 15817140 23725710 28470852 35588565 47451420 71177130 142354260