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142815372 = 223723292549
BaseRepresentation
bin10001000001100…
…11000010001100
3100221201202212020
420200303002030
5243030042442
622101010140
73352624230
oct1040630214
9327652766
10142815372
1173685337
123b9b3950
132378494b
1414d785c0
15c8109ec
hex883308c

142815372 has 96 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 37669632.

The previous prime is 142815353. The next prime is 142815373. The reversal of 142815372 is 273518241.

It is not an unprimeable number, because it can be changed into a prime (142815373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54754 + ... + 57302.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2142815372 is an apocalyptic number.

142815372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142815372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

142815372 is an abundant number, since it is smaller than the sum of its proper divisors (268448628).

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

142815372 is a wasteful number, since it uses less digits than its factorization.

142815372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2613 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 142815372 is about 11950.5385652698. The cubic root of 142815372 is about 522.7070028293.

The spelling of 142815372 in words is "one hundred forty-two million, eight hundred fifteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 812 966 1218 1334 1932 2001 2436 2549 2668 4002 4669 5098 7647 8004 9338 10196 14007 15294 17843 18676 28014 30588 35686 53529 56028 58627 71372 73921 107058 117254 147842 175881 214116 221763 234508 295684 351762 410389 443526 517447 703524 820778 887052 1034894 1231167 1552341 1641556 1700183 2069788 2462334 3104682 3400366 4924668 5100549 6209364 6800732 10201098 11901281 20402196 23802562 35703843 47605124 71407686 142815372