Search a number
-
+
142152150 = 23527373659
BaseRepresentation
bin10000111100100…
…01000111010110
3100220111002002110
420132101013112
5242342332100
622034451450
73344162520
oct1036210726
9326432073
10142152150
1173272018
123b733b86
13235b1aca
1414c44a10
15c72e250
hex87911d6

142152150 has 96 divisors (see below), whose sum is σ = 413902080. Its totient is φ = 31605120.

The previous prime is 142152149. The next prime is 142152193. The reversal of 142152150 is 51251241.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 37021 + ... + 40679.

It is an arithmetic number, because the mean of its divisors is an integer number (4311480).

Almost surely, 2142152150 is an apocalyptic number.

142152150 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 142152150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206951040).

142152150 is an abundant number, since it is smaller than the sum of its proper divisors (271749930).

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

142152150 is a wasteful number, since it uses less digits than its factorization.

142152150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 142152150 is about 11922.7576508122. The cubic root of 142152150 is about 521.8966119870.

Subtracting from 142152150 its reverse (51251241), we obtain a palindrome (90900909).

The spelling of 142152150 in words is "one hundred forty-two million, one hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1850 2590 2775 3659 3885 5550 6475 7318 7770 10977 12950 18295 19425 21954 25613 36590 38850 51226 54885 76839 91475 109770 128065 135383 153678 182950 256130 270766 274425 384195 406149 548850 640325 676915 768390 812298 947681 1280650 1353830 1895362 1920975 2030745 2843043 3384575 3841950 4061490 4738405 5686086 6769150 9476810 10153725 14215215 20307450 23692025 28430430 47384050 71076075 142152150