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553753240 = 235171515393
BaseRepresentation
bin100001000000011…
…001101010011000
31102120222120122021
4201000121222120
52113230100430
6130540504224
716502552635
oct4100315230
91376876567
10553753240
11264641007
1213554b074
138a955951
145378918c
153393507a
hex21019a98

553753240 has 64 divisors (see below), whose sum is σ = 1328218560. Its totient is φ = 207052800.

The previous prime is 553753177. The next prime is 553753241. The reversal of 553753240 is 42357355.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 553753196 and 553753205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553753241) 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, 99984 + ... + 105376.

It is an arithmetic number, because the mean of its divisors is an integer number (20753415).

Almost surely, 2553753240 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 553753240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664109280).

553753240 is an abundant number, since it is smaller than the sum of its proper divisors (774465320).

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

553753240 is a wasteful number, since it uses less digits than its factorization.

553753240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 34.

The square root of 553753240 is about 23531.9620941391. The cubic root of 553753240 is about 821.1807498983.

The spelling of 553753240 in words is "five hundred fifty-three million, seven hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 151 170 302 340 604 680 755 1208 1510 2567 3020 5134 5393 6040 10268 10786 12835 20536 21572 25670 26965 43144 51340 53930 91681 102680 107860 183362 215720 366724 458405 733448 814343 916810 1628686 1833620 3257372 3667240 4071715 6514744 8143430 13843831 16286860 27687662 32573720 55375324 69219155 110750648 138438310 276876620 553753240