Search a number
-
+
142074270 = 233513172381
BaseRepresentation
bin10000111011111…
…10000110011110
3100220100010021000
420131332012132
5242332334040
622033051130
73343416462
oct1035760636
9326303230
10142074270
1173219558
123b6b6aa6
1323585520
1414c244a2
15c716130
hex877e19e

142074270 has 128 divisors (see below), whose sum is σ = 432190080. Its totient is φ = 32901120.

The previous prime is 142074241. The next prime is 142074281. The reversal of 142074270 is 72470241.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58480 + ... + 60860.

It is an arithmetic number, because the mean of its divisors is an integer number (3376485).

Almost surely, 2142074270 is an apocalyptic number.

142074270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142074270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216095040).

142074270 is an abundant number, since it is smaller than the sum of its proper divisors (290115810).

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

142074270 is a wasteful number, since it uses less digits than its factorization.

142074270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 142074270 is about 11919.4911804154. The cubic root of 142074270 is about 521.8012851767.

The spelling of 142074270 in words is "one hundred forty-two million, seventy-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1105 1170 1326 1530 1755 1989 2210 2295 2381 3315 3510 3978 4590 4762 5967 6630 7143 9945 11905 11934 14286 19890 21429 23810 29835 30953 35715 40477 42858 59670 61906 64287 71430 80954 92859 107145 121431 128574 154765 185718 202385 214290 242862 278577 309530 321435 364293 404770 464295 526201 557154 607155 642870 728586 835731 928590 1052402 1092879 1214310 1392885 1578603 1671462 1821465 2185758 2631005 2785770 3157206 3642930 4178655 4735809 5262010 5464395 7893015 8357310 9471618 10928790 14207427 15786030 23679045 28414854 47358090 71037135 142074270