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270252450 = 23552132959
BaseRepresentation
bin10000000110111…
…011100110100010
3200211112020200000
4100012323212202
51023141034300
642452240430
76461052006
oct2006734642
9624466600
10270252450
11129606736
1276610116
1343cb39c0
1427c6c706
1518ad4c00
hex101bb9a2

270252450 has 288 divisors, whose sum is σ = 853070400. Its totient is φ = 63141120.

The previous prime is 270252431. The next prime is 270252457. The reversal of 270252450 is 54252072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270252457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4580521 + ... + 4580579.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2270252450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270252450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

270252450 is an abundant number, since it is smaller than the sum of its proper divisors (582817950).

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

270252450 is a wasteful number, since it uses less digits than its factorization.

270252450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 270252450 is about 16439.3567392401. The cubic root of 270252450 is about 646.5317839037.

The spelling of 270252450 in words is "two hundred seventy million, two hundred fifty-two thousand, four hundred fifty".