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74121700 = 22521759739
BaseRepresentation
bin1000110101100…
…00000111100100
312011110202212011
410122300013210
5122433343300
611204404004
71560011152
oct432600744
9164422764
1074121700
1138926804
12209a6604
13124828c3
149bb63d2
156791eba
hex46b01e4

74121700 has 72 divisors (see below), whose sum is σ = 173426400. Its totient is φ = 27394560.

The previous prime is 74121673. The next prime is 74121701. The reversal of 74121700 is 712147.

It is not an unprimeable number, because it can be changed into a prime (74121701) 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 23 ways as a sum of consecutive naturals, for example, 99931 + ... + 100669.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 274121700 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 74121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713200).

74121700 is an abundant number, since it is smaller than the sum of its proper divisors (99304700).

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

74121700 is a wasteful number, since it uses less digits than its factorization.

74121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 74121700 is about 8609.3960299199. The cubic root of 74121700 is about 420.0636713750.

Adding to 74121700 its reverse (712147), we get a palindrome (74833847).

The spelling of 74121700 in words is "seventy-four million, one hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 68 85 100 118 170 236 295 340 425 590 739 850 1003 1180 1475 1478 1700 2006 2950 2956 3695 4012 5015 5900 7390 10030 12563 14780 18475 20060 25075 25126 36950 43601 50150 50252 62815 73900 87202 100300 125630 174404 218005 251260 314075 436010 628150 741217 872020 1090025 1256300 1482434 2180050 2964868 3706085 4360100 7412170 14824340 18530425 37060850 74121700