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74106 = 23223179
BaseRepresentation
bin10010000101111010
310202122200
4102011322
54332411
61331030
7426024
oct220572
9122580
1074106
115074a
1236a76
1327966
141d014
1516e56
hex1217a

74106 has 24 divisors (see below), whose sum is σ = 168480. Its totient is φ = 23496.

The previous prime is 74101. The next prime is 74131. The reversal of 74106 is 60147.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

274106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

74106 is an abundant number, since it is smaller than the sum of its proper divisors (94374).

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

74106 is a wasteful number, since it uses less digits than its factorization.

74106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74106 is about 272.2241723286. The cubic root of 74106 is about 42.0034010851.

Subtracting from 74106 its sum of digits (18), we obtain a cube (74088 = 423).

The spelling of 74106 in words is "seventy-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 179 207 358 414 537 1074 1611 3222 4117 8234 12351 24702 37053 74106