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142052610 = 23571793779
BaseRepresentation
bin10000111011110…
…00110100000010
3100220022000112210
420131320310002
5242331140420
622032402550
73343266360
oct1035706402
9326260483
10142052610
1173204257
123b6a6456
13235786cb
1414c1a630
15c70e9e0
hex8778d02

142052610 has 64 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 32279232.

The previous prime is 142052609. The next prime is 142052627. The reversal of 142052610 is 16250241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35701 + ... + 39479.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2142052610 is an apocalyptic number.

142052610 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 142052610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

142052610 is an abundant number, since it is smaller than the sum of its proper divisors (249857790).

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

142052610 is a wasteful number, since it uses less digits than its factorization.

142052610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 142052610 is about 11918.5825499511. The cubic root of 142052610 is about 521.7747666752.

The spelling of 142052610 in words is "one hundred forty-two million, fifty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 358 537 895 1074 1253 1790 2506 2685 3759 3779 5370 6265 7518 7558 11337 12530 18795 18895 22674 26453 37590 37790 52906 56685 79359 113370 132265 158718 264530 396795 676441 793590 1352882 2029323 3382205 4058646 4735087 6764410 9470174 10146615 14205261 20293230 23675435 28410522 47350870 71026305 142052610