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74726730 = 2325132173
BaseRepresentation
bin1000111010000…
…11110101001010
312012121111210200
410131003311022
5123112223410
611225353030
71565111121
oct435036512
9165544720
1074726730
11391aa331
1221038776
1312635100
149cd2ab8
1568613c0
hex4743d4a

74726730 has 144 divisors (see below), whose sum is σ = 223530840. Its totient is φ = 17312256.

The previous prime is 74726699. The next prime is 74726731. The reversal of 74726730 is 3762747.

It can be written as a sum of positive squares in 12 ways, for example, as 25281 + 74701449 = 159^2 + 8643^2 .

It is not an unprimeable number, because it can be changed into a prime (74726731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4395682 + ... + 4395698.

Almost surely, 274726730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74726730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111765420).

74726730 is an abundant number, since it is smaller than the sum of its proper divisors (148804110).

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

74726730 is a wasteful number, since it uses less digits than its factorization.

74726730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 74726730 is about 8644.4623892987. The cubic root of 74726730 is about 421.2035207753.

The spelling of 74726730 in words is "seventy-four million, seven hundred twenty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 169 170 195 221 234 255 289 306 338 390 442 507 510 578 585 663 765 845 867 1014 1105 1170 1326 1445 1521 1530 1690 1734 1989 2210 2535 2601 2873 2890 3042 3315 3757 3978 4335 4913 5070 5202 5746 6630 7514 7605 8619 8670 9826 9945 11271 13005 14365 14739 15210 17238 18785 19890 22542 24565 25857 26010 28730 29478 33813 37570 43095 44217 48841 49130 51714 56355 63869 67626 73695 86190 88434 97682 112710 127738 129285 146523 147390 169065 191607 221085 244205 258570 293046 319345 338130 383214 439569 442170 488410 574821 638690 732615 830297 879138 958035 1149642 1465230 1660594 1916070 2197845 2490891 2874105 4151485 4395690 4981782 5748210 7472673 8302970 12454455 14945346 24908910 37363365 74726730