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142073932 = 2272111337137
BaseRepresentation
bin10000111011111…
…10000001001100
3100220100002210111
420131332001030
5242332331212
622033045404
73343415500
oct1035760114
9326302714
10142073932
1173219280
123b6b6864
1323585320
1414c24300
15c715ea7
hex877e04c

142073932 has 144 divisors (see below), whose sum is σ = 351515808. Its totient is φ = 49351680.

The previous prime is 142073923. The next prime is 142073933. The reversal of 142073932 is 239370241.

It is a junction number, because it is equal to n+sod(n) for n = 142073894 and 142073903.

It is not an unprimeable number, because it can be changed into a prime (142073933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036968 + ... + 1037104.

It is an arithmetic number, because the mean of its divisors is an integer number (2441082).

Almost surely, 2142073932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142073932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175757904).

142073932 is an abundant number, since it is smaller than the sum of its proper divisors (209441876).

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

142073932 is a wasteful number, since it uses less digits than its factorization.

142073932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 142073932 is about 11919.4770019494. The cubic root of 142073932 is about 521.8008713815.

The spelling of 142073932 in words is "one hundred forty-two million, seventy-three thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 49 52 74 77 91 98 137 143 148 154 182 196 259 274 286 308 364 407 481 518 539 548 572 637 814 959 962 1001 1036 1078 1274 1507 1628 1781 1813 1918 1924 2002 2156 2548 2849 3014 3367 3562 3626 3836 4004 5069 5291 5698 6028 6713 6734 7007 7124 7252 10138 10549 10582 11396 12467 13426 13468 14014 19591 19943 20276 21098 21164 23569 24934 26852 28028 35483 37037 39182 39886 42196 47138 49868 55759 65897 70966 73843 74074 78364 79772 87269 94276 111518 131794 137137 141932 147686 148148 174538 223036 248381 259259 263588 274274 295372 349076 390313 461279 496762 518518 548548 724867 780626 922558 959959 993524 1037036 1449734 1561252 1845116 1919918 2732191 2899468 3228953 3839836 5074069 5464382 6457906 10148138 10928764 12915812 20296276 35518483 71036966 142073932