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74121210 = 23352711013
BaseRepresentation
bin1000110101011…
…11111111111010
312011110202012000
410122233333322
5122433334320
611204401430
71560006552
oct432577772
9164422160
1074121210
11389263a9
12209a6276
1312482607
149bb6162
156791c90
hex46afffa

74121210 has 64 divisors (see below), whose sum is σ = 198581760. Its totient is φ = 19673280.

The previous prime is 74121193. The next prime is 74121211. The reversal of 74121210 is 1212147.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72664 + ... + 73676.

It is an arithmetic number, because the mean of its divisors is an integer number (3102840).

Almost surely, 274121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

74121210 is an abundant number, since it is smaller than the sum of its proper divisors (124460550).

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

74121210 is a wasteful number, since it uses less digits than its factorization.

74121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 74121210 is about 8609.3675725921. The cubic root of 74121210 is about 420.0627457277.

Adding to 74121210 its reverse (1212147), we get a palindrome (75333357).

It can be divided in two parts, 74121 and 210, that multiplied together give a triangular number (15565410 = T5579).

The spelling of 74121210 in words is "seventy-four million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 271 542 813 1013 1355 1626 2026 2439 2710 3039 4065 4878 5065 6078 7317 8130 9117 10130 12195 14634 15195 18234 24390 27351 30390 36585 45585 54702 73170 91170 136755 273510 274523 549046 823569 1372615 1647138 2470707 2745230 4117845 4941414 7412121 8235690 12353535 14824242 24707070 37060605 74121210