Search a number
-
+
74105024 = 267533121
BaseRepresentation
bin1000110101011…
…00000011000000
312011102220222112
410122230003000
5122432330044
611204154452
71556611430
oct432540300
9164386875
1074105024
1138915224
1220998a28
1312478136
149bb02c0
15678c09e
hex46ac0c0

74105024 has 56 divisors (see below), whose sum is σ = 171285408. Its totient is φ = 31150080.

The previous prime is 74105021. The next prime is 74105027. The reversal of 74105024 is 42050147.

It is an interprime number because it is at equal distance from previous prime (74105021) and next prime (74105027).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (74105021) 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, 22184 + ... + 25304.

It is an arithmetic number, because the mean of its divisors is an integer number (3058668).

Almost surely, 274105024 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 74105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85642704).

74105024 is an abundant number, since it is smaller than the sum of its proper divisors (97180384).

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

74105024 is a wasteful number, since it uses less digits than its factorization.

74105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 74105024 is about 8608.4274986783. The cubic root of 74105024 is about 420.0321668485.

The spelling of 74105024 in words is "seventy-four million, one hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3121 3392 5936 6242 11872 12484 21847 23744 24968 43694 49936 87388 99872 165413 174776 199744 330826 349552 661652 699104 1157891 1323304 1398208 2315782 2646608 4631564 5293216 9263128 10586432 18526256 37052512 74105024