Search a number
-
+
15142350 = 235229592
BaseRepresentation
bin111001110000…
…110111001110
31001111022101210
4321300313032
512334023400
61300315250
7242464536
oct71606716
931438353
1015142350
118602743
1250a2b26
1331a2392
1420224c6
1514e1950
hexe70dce

15142350 has 72 divisors (see below), whose sum is σ = 39517560. Its totient is φ = 3832640.

The previous prime is 15142327. The next prime is 15142367. The reversal of 15142350 is 5324151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256621 + ... + 256679.

It is an arithmetic number, because the mean of its divisors is an integer number (548855).

Almost surely, 215142350 is an apocalyptic number.

15142350 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 15142350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758780).

15142350 is an abundant number, since it is smaller than the sum of its proper divisors (24375210).

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

15142350 is a wasteful number, since it uses less digits than its factorization.

15142350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 15142350 is about 3891.3172576905. The cubic root of 15142350 is about 247.3988975896.

The spelling of 15142350 in words is "fifteen million, one hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 59 75 87 118 145 150 174 177 290 295 354 435 590 725 870 885 1450 1475 1711 1770 2175 2950 3422 3481 4350 4425 5133 6962 8555 8850 10266 10443 17110 17405 20886 25665 34810 42775 51330 52215 85550 87025 100949 104430 128325 174050 201898 256650 261075 302847 504745 522150 605694 1009490 1514235 2523725 3028470 5047450 7571175 15142350