Search a number
-
+
74574104 = 23111779631
BaseRepresentation
bin1000111000111…
…10100100011000
312012022202102212
410130132210120
5123042332404
611222214252
71563604133
oct434364430
9165282385
1074574104
11391056a0
1220b84388
13125b07b7
149c9321a
15683106e
hex471e918

74574104 has 64 divisors (see below), whose sum is σ = 163814400. Its totient is φ = 31449600.

The previous prime is 74574103. The next prime is 74574113. The reversal of 74574104 is 40147547.

74574104 = T307 + T308 + ... + T780.

It is a super-2 number, since 2×745741042 = 11122593974805632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74574103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117869 + ... + 118499.

It is an arithmetic number, because the mean of its divisors is an integer number (2559600).

Almost surely, 274574104 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 74574104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81907200).

74574104 is an abundant number, since it is smaller than the sum of its proper divisors (89240296).

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

74574104 is a wasteful number, since it uses less digits than its factorization.

74574104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 74574104 is about 8635.6299133300. The cubic root of 74574104 is about 420.9165622095.

The spelling of 74574104 in words is "seventy-four million, five hundred seventy-four thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 79 88 136 158 187 316 374 631 632 748 869 1262 1343 1496 1738 2524 2686 3476 5048 5372 6941 6952 10727 10744 13882 14773 21454 27764 29546 42908 49849 55528 59092 85816 99698 117997 118184 199396 235994 398792 471988 548339 847433 943976 1096678 1694866 2193356 3389732 4386712 6779464 9321763 18643526 37287052 74574104