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74142012 = 223773107113
BaseRepresentation
bin1000110101101…
…01000100111100
312011111210201110
410122311010330
5122440021022
611205042020
71560124320
oct432650474
9164453643
1074142012
113893aa9a
12209b6310
131248bc19
149bbd980
15679800c
hex46b513c

74142012 has 96 divisors (see below), whose sum is σ = 204083712. Its totient is φ = 20514816.

The previous prime is 74142011. The next prime is 74142031. The reversal of 74142012 is 21024147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 74142012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74142011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 656068 + ... + 656180.

It is an arithmetic number, because the mean of its divisors is an integer number (2125872).

Almost surely, 274142012 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 74142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102041856).

74142012 is an abundant number, since it is smaller than the sum of its proper divisors (129941700).

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

74142012 is a wasteful number, since it uses less digits than its factorization.

74142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74142012 is about 8610.5755905166. The cubic root of 74142012 is about 420.1020386998.

Adding to 74142012 its reverse (21024147), we get a palindrome (95166159).

The spelling of 74142012 in words is "seventy-four million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 107 113 146 214 219 226 292 321 339 428 438 452 511 642 678 749 791 876 1022 1284 1356 1498 1533 1582 2044 2247 2373 2996 3066 3164 4494 4746 6132 7811 8249 8988 9492 12091 15622 16498 23433 24182 24747 31244 32996 36273 46866 48364 49494 54677 57743 72546 84637 93732 98988 109354 115486 145092 164031 169274 173229 218708 230972 253911 328062 338548 346458 507822 656124 692916 882643 1015644 1765286 2647929 3530572 5295858 6178501 10591716 12357002 18535503 24714004 37071006 74142012