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74096020 = 22541109829
BaseRepresentation
bin1000110101010…
…01110110010100
312011102110122001
410122221312110
5122432033040
611204045044
71556543245
oct432516624
9164373561
1074096020
1138909489
1220993784
1312473ccb
149baaccc
15678959a
hex46a9d94

74096020 has 48 divisors (see below), whose sum is σ = 161053200. Its totient is φ = 28615680.

The previous prime is 74096003. The next prime is 74096023. The reversal of 74096020 is 2069047.

It can be written as a sum of positive squares in 8 ways, for example, as 3334276 + 70761744 = 1826^2 + 8412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74096020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74096023) 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 15 ways as a sum of consecutive naturals, for example, 88966 + ... + 89794.

It is an arithmetic number, because the mean of its divisors is an integer number (3355275).

Almost surely, 274096020 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 74096020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80526600).

74096020 is an abundant number, since it is smaller than the sum of its proper divisors (86957180).

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

74096020 is a wasteful number, since it uses less digits than its factorization.

74096020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 74096020 is about 8607.9045069053. The cubic root of 74096020 is about 420.0151544041.

The spelling of 74096020 in words is "seventy-four million, ninety-six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 829 1090 1658 2180 3316 4145 4469 8290 8938 16580 17876 22345 33989 44690 67978 89380 90361 135956 169945 180722 339890 361444 451805 679780 903610 1807220 3704801 7409602 14819204 18524005 37048010 74096020