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142495632 = 24331719403
BaseRepresentation
bin10000111111001…
…00111110010000
3100221010112021000
420133210332100
5242434330012
622050102000
73350123106
oct1037447620
9327115230
10142495632
1173487094
123b87a900
13236a2256
1414cd3c76
15c79addc
hex87e4f90

142495632 has 80 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 44702208.

The previous prime is 142495609. The next prime is 142495669. The reversal of 142495632 is 236594241.

It is a happy number.

142495632 is a `hidden beast` number, since 14 + 2 + 4 + 9 + 5 + 632 = 666.

142495632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2142495632 is an apocalyptic number.

142495632 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 142495632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

142495632 is an abundant number, since it is smaller than the sum of its proper divisors (290601648).

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

142495632 is a wasteful number, since it uses less digits than its factorization.

142495632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19437 (or 19425 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 142495632 is about 11937.1534295241. The cubic root of 142495632 is about 522.3166265091.

It can be divided in two parts, 14249 and 5632, that added together give a square (19881 = 1412).

The spelling of 142495632 in words is "one hundred forty-two million, four hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 19403 38806 58209 77612 116418 155224 174627 232836 310448 329851 349254 465672 523881 659702 698508 931344 989553 1047762 1319404 1397016 1979106 2095524 2638808 2794032 2968659 3958212 4191048 5277616 5937318 7916424 8382096 8905977 11874636 15832848 17811954 23749272 35623908 47498544 71247816 142495632