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142447032 = 23337137247
BaseRepresentation
bin10000111110110…
…01000110111000
3100221001001121000
420133121012320
5242431301112
622045045000
73346531320
oct1037310670
9327031530
10142447032
1173453622
123b856760
13236860b0
1414cc0280
15c78b7dc
hex87d91b8

142447032 has 128 divisors (see below), whose sum is σ = 487065600. Its totient is φ = 37563264.

The previous prime is 142447031. The next prime is 142447051. The reversal of 142447032 is 230744241.

142447032 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 142446987 and 142447005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142447031) 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, 16033 + ... + 23279.

It is an arithmetic number, because the mean of its divisors is an integer number (3805200).

Almost surely, 2142447032 is an apocalyptic number.

142447032 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 142447032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243532800).

142447032 is an abundant number, since it is smaller than the sum of its proper divisors (344618568).

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

142447032 is a wasteful number, since it uses less digits than its factorization.

142447032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 142447032 is about 11935.1175947286. The cubic root of 142447032 is about 522.2572387834.

The spelling of 142447032 in words is "one hundred forty-two million, four hundred forty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 7247 9828 14494 19656 21741 28988 43482 50729 57976 65223 86964 94211 101458 130446 152187 173928 188422 195669 202916 260892 282633 304374 376844 391338 405832 456561 521784 565266 608748 659477 753688 782676 847899 913122 1130532 1217496 1318954 1369683 1565352 1695798 1826244 1978431 2261064 2543697 2637908 2739366 3391596 3652488 3956862 5087394 5275816 5478732 5935293 6783192 7913724 10174788 10957464 11870586 15827448 17805879 20349576 23741172 35611758 47482344 71223516 142447032