Search a number
-
+
74609220 = 22357349509
BaseRepresentation
bin1000111001001…
…11001001000100
312012101112121110
410130213021010
5123044443340
611223045020
71564111410
oct434471104
9165345543
1074609220
113912a014
1220ba0770
13125c378a
149ca1d40
15683b680
hex4727244

74609220 has 96 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 16971264.

The previous prime is 74609207. The next prime is 74609221. The reversal of 74609220 is 2290647.

It is a happy number.

74609220 is a nontrivial binomial coefficient, being equal to C(12216, 2).

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

It is not an unprimeable number, because it can be changed into a prime (74609221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146326 + ... + 146834.

It is an arithmetic number, because the mean of its divisors is an integer number (2499000).

Almost surely, 274609220 is an apocalyptic number.

74609220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74609220 is the 12215-th triangular number and also the 6108-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74609220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

74609220 is an abundant number, since it is smaller than the sum of its proper divisors (165294780).

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

74609220 is a wasteful number, since it uses less digits than its factorization.

74609220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

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

The square root of 74609220 is about 8637.6628783485. The cubic root of 74609220 is about 420.9826199327.

Adding to 74609220 its reverse (2290647), we get a palindrome (76899867).

The spelling of 74609220 in words is "seventy-four million, six hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 509 698 1018 1047 1396 1527 1745 2036 2094 2443 2545 3054 3490 3563 4188 4886 5090 5235 6108 6980 7126 7329 7635 9772 10180 10470 10689 12215 14252 14658 15270 17815 20940 21378 24430 29316 30540 35630 36645 42756 48860 53445 71260 73290 106890 146580 177641 213780 355282 532923 710564 888205 1065846 1243487 1776410 2131692 2486974 2664615 3552820 3730461 4973948 5329230 6217435 7460922 10658460 12434870 14921844 18652305 24869740 37304610 74609220