Search a number
-
+
74616060 = 223517191383
BaseRepresentation
bin1000111001010…
…00110011111100
312012101212222210
410130220303330
5123100203220
611223140420
71564140351
oct434506374
9165355883
1074616060
1139134172
1220ba4710
13125c691c
149ca4628
15683d6e0
hex4728cfc

74616060 has 96 divisors (see below), whose sum is σ = 222953472. Its totient is φ = 18580480.

The previous prime is 74616049. The next prime is 74616067. The reversal of 74616060 is 6061647.

74616060 = T1 + T2 + ... + T764.

74616060 is a nontrivial binomial coefficient, being equal to C(766, 3).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74616067) by changing a digit.

It is the 764-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194629 + ... + 195011.

It is an arithmetic number, because the mean of its divisors is an integer number (2322432).

Almost surely, 274616060 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 74616060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111476736).

74616060 is an abundant number, since it is smaller than the sum of its proper divisors (148337412).

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

74616060 is a wasteful number, since it uses less digits than its factorization.

74616060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74616060 is about 8638.0588097095. The cubic root of 74616060 is about 420.9954844426.

The spelling of 74616060 in words is "seventy-four million, six hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 191 204 255 340 382 383 510 573 764 766 955 1020 1146 1149 1532 1910 1915 2292 2298 2865 3247 3820 3830 4596 5730 5745 6494 6511 7660 9741 11460 11490 12988 13022 16235 19482 19533 22980 26044 32470 32555 38964 39066 48705 64940 65110 73153 78132 97410 97665 130220 146306 194820 195330 219459 292612 365765 390660 438918 731530 877836 1097295 1243601 1463060 2194590 2487202 3730803 4389180 4974404 6218005 7461606 12436010 14923212 18654015 24872020 37308030 74616060