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142215150 = 235272111759
BaseRepresentation
bin10000111101000…
…00011111101110
3100220121021111210
420132200133232
5242401341100
622040055250
73344544300
oct1036403756
9326537453
10142215150
1173305390
123b764526
132360469c
1414c5d970
15c742c50
hex87a07ee

142215150 has 144 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 29534400.

The previous prime is 142215131. The next prime is 142215163. The reversal of 142215150 is 51512241.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79971 + ... + 81729.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2142215150 is an apocalyptic number.

142215150 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 142215150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

142215150 is an abundant number, since it is smaller than the sum of its proper divisors (305613330).

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

142215150 is a wasteful number, since it uses less digits than its factorization.

142215150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

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

The square root of 142215150 is about 11925.3993643819. The cubic root of 142215150 is about 521.9736998831.

Adding to 142215150 its reverse (51512241), we get a palindrome (193727391).

The spelling of 142215150 in words is "one hundred forty-two million, two hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 75 77 98 105 110 147 150 154 165 175 210 231 245 275 294 330 350 385 462 490 525 539 550 735 770 825 1050 1078 1155 1225 1470 1617 1650 1759 1925 2310 2450 2695 3234 3518 3675 3850 5277 5390 5775 7350 8085 8795 10554 11550 12313 13475 16170 17590 19349 24626 26385 26950 36939 38698 40425 43975 52770 58047 61565 73878 80850 86191 87950 96745 116094 123130 131925 135443 172382 184695 193490 258573 263850 270886 290235 307825 369390 406329 430955 483725 517146 580470 615650 677215 812658 861910 923475 948101 967450 1292865 1354430 1451175 1846950 1896202 2031645 2154775 2585730 2844303 2902350 3386075 4063290 4309550 4740505 5688606 6464325 6772150 9481010 10158225 12928650 14221515 20316450 23702525 28443030 47405050 71107575 142215150