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132012342 = 23471119557
BaseRepresentation
bin1111101111001…
…01100100110110
3100012101220220000
413313211210312
5232243343332
621033252130
73162041430
oct767454466
9305356800
10132012342
1168576910
1238264046
1321471717
1413765650
15b8c9b7c
hex7de5936

132012342 has 160 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 32425920.

The previous prime is 132012301. The next prime is 132012343. The reversal of 132012342 is 243210231.

132012342 is a `hidden beast` number, since 1 + 320 + 1 + 2 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236728 + ... + 237284.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2132012342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

132012342 is an abundant number, since it is smaller than the sum of its proper divisors (256891338).

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

132012342 is a wasteful number, since it uses less digits than its factorization.

132012342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132012342 is about 11489.6623971290. The cubic root of 132012342 is about 509.1802054266.

Adding to 132012342 its reverse (243210231), we get a palindrome (375222573).

The spelling of 132012342 in words is "one hundred thirty-two million, twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 81 99 114 126 133 154 162 171 189 198 209 231 266 297 342 378 399 418 462 513 557 567 594 627 693 798 891 1026 1114 1134 1197 1254 1386 1463 1539 1671 1782 1881 2079 2394 2926 3078 3342 3591 3762 3899 4158 4389 5013 5643 6127 6237 7182 7798 8778 10026 10583 10773 11286 11697 12254 12474 13167 15039 16929 18381 21166 21546 23394 26334 30078 31749 33858 35091 36762 39501 42889 45117 55143 63498 70182 74081 79002 85778 90234 95247 105273 110286 116413 118503 128667 148162 165429 190494 210546 222243 232826 237006 257334 285741 315819 330858 349239 386001 444486 496287 571482 631638 666729 698478 772002 814891 857223 992574 1047717 1158003 1333458 1629782 1714446 2000187 2095434 2316006 2444673 3143151 3474009 4000374 4889346 6000561 6286302 6948018 7334019 9429453 12001122 14668038 18858906 22002057 44004114 66006171 132012342