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74146740 = 223519193337
BaseRepresentation
bin1000110101101…
…10001110110100
312011112001012120
410122312032310
5122440143430
611205115540
71560144153
oct432661664
9164461176
1074146740
11389435a8
12209b8bb0
1312491115
149bc159a
156799610
hex46b63b4

74146740 has 96 divisors (see below), whose sum is σ = 220321920. Its totient is φ = 18579456.

The previous prime is 74146739. The next prime is 74146747. The reversal of 74146740 is 4764147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74146747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219852 + ... + 220188.

It is an arithmetic number, because the mean of its divisors is an integer number (2295020).

Almost surely, 274146740 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 74146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160960).

74146740 is an abundant number, since it is smaller than the sum of its proper divisors (146175180).

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

74146740 is a wasteful number, since it uses less digits than its factorization.

74146740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 74146740 is about 8610.8501322459. The cubic root of 74146740 is about 420.1109684108.

The spelling of 74146740 in words is "seventy-four million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 193 228 285 337 380 386 570 579 674 772 965 1011 1140 1158 1348 1685 1930 2022 2316 2895 3370 3667 3860 4044 5055 5790 6403 6740 7334 10110 11001 11580 12806 14668 18335 19209 20220 22002 25612 32015 36670 38418 44004 55005 64030 65041 73340 76836 96045 110010 128060 130082 192090 195123 220020 260164 325205 384180 390246 650410 780492 975615 1235779 1300820 1951230 2471558 3707337 3902460 4943116 6178895 7414674 12357790 14829348 18536685 24715580 37073370 74146740