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142518376 = 23711132372
BaseRepresentation
bin10000111111010…
…10100001101000
3100221011200110101
420133222201220
5242441042001
622050355144
73350246320
oct1037524150
9327150411
10142518376
11734a2190
123b88bab4
13236ac700
1414cdc280
15c7a2a01
hex87ea868

142518376 has 144 divisors (see below), whose sum is σ = 370772640. Its totient is φ = 49870080.

The previous prime is 142518349. The next prime is 142518391. The reversal of 142518376 is 673815241.

It is a super-2 number, since 2×1425183762 = 40622974995354752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (40320) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3851830 + ... + 3851866.

It is an arithmetic number, because the mean of its divisors is an integer number (2574810).

Almost surely, 2142518376 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 142518376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185386320).

142518376 is an abundant number, since it is smaller than the sum of its proper divisors (228254264).

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

142518376 is a wasteful number, since it uses less digits than its factorization.

142518376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 142518376 is about 11938.1060474432. The cubic root of 142518376 is about 522.3444143488.

The spelling of 142518376 in words is "one hundred forty-two million, five hundred eighteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 37 44 52 56 74 77 88 91 104 143 148 154 169 182 259 286 296 308 338 364 407 481 518 572 616 676 728 814 962 1001 1036 1144 1183 1352 1369 1628 1859 1924 2002 2072 2366 2738 2849 3256 3367 3718 3848 4004 4732 5291 5476 5698 6253 6734 7436 8008 9464 9583 10582 10952 11396 12506 13013 13468 14872 15059 17797 19166 21164 22792 25012 26026 26936 30118 35594 37037 38332 42328 43771 50024 52052 60236 68783 71188 74074 76664 87542 104104 105413 120472 124579 137566 142376 148148 175084 195767 210826 231361 249158 275132 296296 350168 391534 421652 462722 481481 498316 550264 783068 843304 925444 962962 996632 1370369 1566136 1619527 1850888 1925924 2544971 2740738 3239054 3851848 5089942 5481476 6478108 10179884 10962952 12956216 17814797 20359768 35629594 71259188 142518376