Search a number
-
+
74649360 = 2435615099
BaseRepresentation
bin1000111001100…
…00111100010000
312012110120200010
410130300330100
5123102234420
611223554520
71564336422
oct434607420
9165416603
1074649360
1139157195
1220bbba40
1312608b26
149cb2812
1568484e0
hex4730f10

74649360 has 80 divisors (see below), whose sum is σ = 235252800. Its totient is φ = 19576320.

The previous prime is 74649343. The next prime is 74649371. The reversal of 74649360 is 6394647.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12091 + ... + 17189.

It is an arithmetic number, because the mean of its divisors is an integer number (2940660).

Almost surely, 274649360 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 74649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117626400).

74649360 is an abundant number, since it is smaller than the sum of its proper divisors (160603440).

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

74649360 is a wasteful number, since it uses less digits than its factorization.

74649360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 74649360 is about 8639.9861110999. The cubic root of 74649360 is about 421.0581030649.

The spelling of 74649360 in words is "seventy-four million, six hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 5099 7320 10198 14640 15297 20396 25495 30594 40792 50990 61188 76485 81584 101980 122376 152970 203960 244752 305940 311039 407920 611880 622078 933117 1223760 1244156 1555195 1866234 2488312 3110390 3732468 4665585 4976624 6220780 7464936 9331170 12441560 14929872 18662340 24883120 37324680 74649360