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74214 = 23271931
BaseRepresentation
bin10010000111100110
310202210200
4102013212
54333324
61331330
7426240
oct220746
9122720
1074214
1150838
1236b46
1327a1a
141d090
1516ec9
hex121e6

74214 has 48 divisors (see below), whose sum is σ = 199680. Its totient is φ = 19440.

The previous prime is 74209. The next prime is 74219. The reversal of 74214 is 41247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74209) and next prime (74219).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74219) by changing a digit.

74214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

274214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99840).

74214 is an abundant number, since it is smaller than the sum of its proper divisors (125466).

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

74214 is a wasteful number, since it uses less digits than its factorization.

74214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 62 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 74214 is about 272.4224660339. The cubic root of 74214 is about 42.0237960391.

The spelling of 74214 in words is "seventy-four thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 37107 74214