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74137420 = 22571733061
BaseRepresentation
bin1000110101100…
…11111101001100
312011111120102101
410122303331030
5122434344140
611205004444
71560105040
oct432637514
9164446371
1074137420
11389375a5
12209b3724
1312489ac6
149bbc020
15679699a
hex46b3f4c

74137420 has 48 divisors (see below), whose sum is σ = 179016768. Its totient is φ = 25263360.

The previous prime is 74137417. The next prime is 74137421. The reversal of 74137420 is 2473147.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (74137421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22690 + ... + 25750.

It is an arithmetic number, because the mean of its divisors is an integer number (3729516).

Almost surely, 274137420 is an apocalyptic number.

74137420 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 74137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89508384).

74137420 is an abundant number, since it is smaller than the sum of its proper divisors (104879348).

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

74137420 is a wasteful number, since it uses less digits than its factorization.

74137420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 74137420 is about 8610.3089375469. The cubic root of 74137420 is about 420.0933654868.

The spelling of 74137420 in words is "seventy-four million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3061 3460 4844 6055 6122 12110 12244 15305 21427 24220 30610 42854 61220 85708 107135 214270 428540 529553 1059106 2118212 2647765 3706871 5295530 7413742 10591060 14827484 18534355 37068710 74137420