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73149420 = 223511310789
BaseRepresentation
bin1000101110000…
…10101111101100
312002122101010210
410113002233230
5122211240140
611131502420
71545521421
oct427025754
9162571123
1073149420
1138322273
12205b7a10
13122021a6
149a01d48
15664dd80
hex45c2bec

73149420 has 48 divisors (see below), whose sum is σ = 206650080. Its totient is φ = 19332096.

The previous prime is 73149413. The next prime is 73149463. The reversal of 73149420 is 2494137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (4305210).

Almost surely, 273149420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103325040).

73149420 is an abundant number, since it is smaller than the sum of its proper divisors (133500660).

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

73149420 is a wasteful number, since it uses less digits than its factorization.

73149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73149420 is about 8552.7434195117. The cubic root of 73149420 is about 418.2188745589.

The spelling of 73149420 in words is "seventy-three million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 10789 21578 32367 43156 53945 64734 107890 129468 161835 215780 323670 647340 1219157 2438314 3657471 4876628 6095785 7314942 12191570 14629884 18287355 24383140 36574710 73149420