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74019136 = 2619292099
BaseRepresentation
bin1000110100101…
…11000101000000
312011021120011111
410122113011000
5122422103021
611202253104
71556103142
oct432270500
9164246144
1074019136
1138866744
1220957194
1312448009
149b8ac92
1567718e1
hex4697140

74019136 has 56 divisors (see below), whose sum is σ = 160020000. Its totient is φ = 33836544.

The previous prime is 74019131. The next prime is 74019161. The reversal of 74019136 is 63191047.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74019098 and 74019107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74019131) 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, 34215 + ... + 36313.

It is an arithmetic number, because the mean of its divisors is an integer number (2857500).

Almost surely, 274019136 is an apocalyptic number.

74019136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80010000).

74019136 is an abundant number, since it is smaller than the sum of its proper divisors (86000864).

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

74019136 is a wasteful number, since it uses less digits than its factorization.

74019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 74019136 is about 8603.4374525535. The cubic root of 74019136 is about 419.8698311656.

The spelling of 74019136 in words is "seventy-four million, nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2099 2204 4198 4408 8396 8816 16792 17632 33584 35264 39881 60871 67168 79762 121742 134336 159524 243484 319048 486968 638096 973936 1156549 1276192 1947872 2313098 2552384 3895744 4626196 9252392 18504784 37009568 74019136