Search a number
-
+
74054120 = 2357733623
BaseRepresentation
bin1000110100111…
…11100111101000
312011100100011012
410122133213220
5122424212440
611203123052
71556310140
oct432374750
9164310135
1074054120
113888aa58
1220973488
131245ac0a
149b99920
15677be65
hex469f9e8

74054120 has 64 divisors (see below), whose sum is σ = 193086720. Its totient is φ = 25035264.

The previous prime is 74054119. The next prime is 74054129. The reversal of 74054120 is 2145047.

It is not an unprimeable number, because it can be changed into a prime (74054129) 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, 18629 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (3016980).

Almost surely, 274054120 is an apocalyptic number.

74054120 is a gapful number since it is divisible by the number (70) 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 74054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96543360).

74054120 is an abundant number, since it is smaller than the sum of its proper divisors (119032600).

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

74054120 is a wasteful number, since it uses less digits than its factorization.

74054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3710 counting only the distinct ones).

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

The square root of 74054120 is about 8605.4703532114. The cubic root of 74054120 is about 419.9359690747.

Adding to 74054120 its reverse (2145047), we get a palindrome (76199167).

The spelling of 74054120 in words is "seventy-four million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 3623 4088 5110 7246 10220 14492 18115 20440 25361 28984 36230 50722 72460 101444 126805 144920 202888 253610 264479 507220 528958 1014440 1057916 1322395 1851353 2115832 2644790 3702706 5289580 7405412 9256765 10579160 14810824 18513530 37027060 74054120