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74480 = 2457219
BaseRepresentation
bin10010001011110000
310210011112
4102023300
54340410
61332452
7430100
oct221360
9123145
1074480
1150a5a
1237128
1327b93
141d200
1517105
hex122f0

74480 has 60 divisors (see below), whose sum is σ = 212040. Its totient is φ = 24192.

The previous prime is 74471. The next prime is 74489. The reversal of 74480 is 8447.

It is an interprime number because it is at equal distance from previous prime (74471) and next prime (74489).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3911 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

274480 is an apocalyptic number.

74480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

74480 is an abundant number, since it is smaller than the sum of its proper divisors (137560).

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

74480 is a wasteful number, since it uses less digits than its factorization.

74480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 74480 is about 272.9102416547. The cubic root of 74480 is about 42.0739438146.

The spelling of 74480 in words is "seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 14896 18620 37240 74480