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42132069 = 357173147
BaseRepresentation
bin1010000010111…
…0001001100101
32221021112100000
42200232021211
541241211234
64103011513
71021055010
oct240561145
987245300
1042132069
11218674a1
1212139b99
138962125
14584a377
153a73899
hex282e265

42132069 has 96 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 21461760.

The previous prime is 42132053. The next prime is 42132073. The reversal of 42132069 is 96023124.

It is not a de Polignac number, because 42132069 - 24 = 42132053 is a prime.

It is a super-2 number, since 2×421320692 = 3550222476441522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 896404 + ... + 896450.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 242132069 is an apocalyptic number.

It is an amenable number.

42132069 is a deficient number, since it is larger than the sum of its proper divisors (38378907).

42132069 is a wasteful number, since it uses less digits than its factorization.

42132069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42132069 is about 6490.9220454416. The cubic root of 42132069 is about 347.9666287857.

The spelling of 42132069 in words is "forty-two million, one hundred thirty-two thousand, sixty-nine".

Divisors: 1 3 7 9 17 21 27 31 47 51 63 81 93 119 141 153 189 217 243 279 329 357 423 459 527 567 651 799 837 987 1071 1269 1377 1457 1581 1701 1953 2397 2511 2961 3213 3689 3807 4131 4371 4743 5593 5859 7191 7533 8883 9639 10199 11067 11421 13113 14229 16779 17577 21573 24769 26649 28917 30597 33201 39339 42687 50337 52731 64719 74307 79947 91791 99603 118017 128061 151011 173383 194157 222921 275373 298809 354051 453033 520149 668763 826119 896427 1359099 1560447 2006289 2478357 4681341 6018867 14044023 42132069