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74125740 = 223513292113
BaseRepresentation
bin1000110101100…
…01000110101100
312011110222101210
410122301012230
5122434010430
611204434420
71560026013
oct432610654
9164428353
1074125740
1138929847
12209a8a10
13124846b0
149bb7a7a
1567932b0
hex46b11ac

74125740 has 144 divisors (see below), whose sum is σ = 233539488. Its totient is φ = 17461248.

The previous prime is 74125699. The next prime is 74125759. The reversal of 74125740 is 4752147.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74125698 and 74125707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655924 + ... + 656036.

It is an arithmetic number, because the mean of its divisors is an integer number (1621802).

Almost surely, 274125740 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 74125740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116769744).

74125740 is an abundant number, since it is smaller than the sum of its proper divisors (159413748).

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

74125740 is a wasteful number, since it uses less digits than its factorization.

74125740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 74125740 is about 8609.6306540989. The cubic root of 74125740 is about 420.0713030870.

Adding to 74125740 its reverse (4752147), we get a palindrome (78877887).

The spelling of 74125740 in words is "seventy-four million, one hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 113 116 130 145 156 174 195 226 260 290 339 348 377 390 435 452 565 580 678 754 780 841 870 1130 1131 1356 1469 1508 1682 1695 1740 1885 2260 2262 2523 2938 3277 3364 3390 3770 4205 4407 4524 5046 5655 5876 6554 6780 7345 7540 8410 8814 9831 10092 10933 11310 12615 13108 14690 16385 16820 17628 19662 21866 22035 22620 25230 29380 32770 32799 39324 42601 43732 44070 49155 50460 54665 65540 65598 85202 88140 95033 98310 109330 127803 131196 163995 170404 190066 196620 213005 218660 255606 285099 327990 380132 426010 475165 511212 570198 639015 655980 852020 950330 1140396 1235429 1278030 1425495 1900660 2470858 2556060 2850990 3706287 4941716 5701980 6177145 7412574 12354290 14825148 18531435 24708580 37062870 74125740