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74145016 = 23117111867
BaseRepresentation
bin1000110101101…
…01110011111000
312011111221211201
410122311303320
5122440120031
611205103544
71560136141
oct432656370
9164457751
1074145016
1138942280
12209b7bb4
13124903ba
149bc0ac8
156798d61
hex46b5cf8

74145016 has 32 divisors (see below), whose sum is σ = 153809280. Its totient is φ = 33224800.

The previous prime is 74144989. The next prime is 74145017. The reversal of 74145016 is 61054147.

It is a super-3 number, since 3×741450163 (a number of 25 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74145017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 12181.

It is an arithmetic number, because the mean of its divisors is an integer number (4806540).

Almost surely, 274145016 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 74145016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76904640).

74145016 is an abundant number, since it is smaller than the sum of its proper divisors (79664264).

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

74145016 is a wasteful number, since it uses less digits than its factorization.

74145016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 74145016 is about 8610.7500254043. The cubic root of 74145016 is about 420.1077123588.

The spelling of 74145016 in words is "seventy-four million, one hundred forty-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 11867 23734 47468 94936 130537 261074 522148 842557 1044296 1685114 3370228 6740456 9268127 18536254 37072508 74145016