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549870120 = 23365109173
BaseRepresentation
bin100000110001100…
…101101000101000
31102022200022000000
4200301211220220
52111231320440
6130321343000
716424550612
oct4061455050
91368608000
10549870120
11262429618
12134197a60
1389bc6347
1453057db2
1533419730
hex20c65a28

549870120 has 224 divisors, whose sum is σ = 1882801800. Its totient is φ = 144446976.

The previous prime is 549870119. The next prime is 549870121. The reversal of 549870120 is 21078945.

It is an interprime number because it is at equal distance from previous prime (549870119) and next prime (549870121).

It can be written as a sum of positive squares in 4 ways, for example, as 541679076 + 8191044 = 23274^2 + 2862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (549870121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3178354 + ... + 3178526.

Almost surely, 2549870120 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 549870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941400900).

549870120 is an abundant number, since it is smaller than the sum of its proper divisors (1332931680).

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

549870120 is a wasteful number, since it uses less digits than its factorization.

549870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 549870120 is about 23449.3095847191. The cubic root of 549870120 is about 819.2567725254.

The spelling of 549870120 in words is "five hundred forty-nine million, eight hundred seventy thousand, one hundred twenty".