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74027142 = 23372101277
BaseRepresentation
bin1000110100110…
…01000010000110
312011021222011000
410122121002012
5122422332032
611202354130
71556135400
oct432310206
9164258130
1074027142
1138871762
122095b946
131244b857
149b8db70
156773e7c
hex4699086

74027142 has 96 divisors (see below), whose sum is σ = 193955040. Its totient is φ = 20865600.

The previous prime is 74027141. The next prime is 74027147. The reversal of 74027142 is 24172047.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74027141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267108 + ... + 267384.

It is an arithmetic number, because the mean of its divisors is an integer number (2020365).

Almost surely, 274027142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74027142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96977520).

74027142 is an abundant number, since it is smaller than the sum of its proper divisors (119927898).

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

74027142 is a wasteful number, since it uses less digits than its factorization.

74027142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 74027142 is about 8603.9027191153. The cubic root of 74027142 is about 419.8849684975.

Adding to 74027142 its reverse (24172047), we get a palindrome (98199189).

The spelling of 74027142 in words is "seventy-four million, twenty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 277 294 303 378 441 554 606 707 831 882 909 1323 1414 1662 1818 1939 2121 2493 2646 2727 3878 4242 4949 4986 5454 5817 6363 7479 9898 11634 12726 13573 14847 14958 17451 19089 27146 27977 29694 34902 38178 40719 44541 52353 55954 81438 83931 89082 104706 122157 133623 167862 195839 244314 251793 267246 366471 391678 503586 587517 732942 755379 1175034 1370873 1510758 1762551 2741746 3525102 4112619 5287653 8225238 10575306 12337857 24675714 37013571 74027142