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553029120 = 293557127
BaseRepresentation
bin100000111101101…
…000111000000000
31102112121210100000
4200331220320000
52113033412440
6130513200000
716463445540
oct4075507000
91375553300
10553029120
11264196a66
12135260000
138a761187
145363b320
1533840730
hex20f68e00

553029120 has 480 divisors, whose sum is σ = 2287853568. Its totient is φ = 125411328.

The previous prime is 553029109. The next prime is 553029131. The reversal of 553029120 is 21920355.

553029120 is a `hidden beast` number, since 5 + 530 + 2 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (553029109) and next prime (553029131).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4354497 + ... + 4354623.

Almost surely, 2553029120 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 553029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143926784).

553029120 is an abundant number, since it is smaller than the sum of its proper divisors (1734824448).

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

553029120 is an equidigital number, since it uses as much as digits as its factorization.

553029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 553029120 is about 23516.5711786391. The cubic root of 553029120 is about 820.8226524989.

Adding to 553029120 its reverse (21920355), we get a palindrome (574949475).

The spelling of 553029120 in words is "five hundred fifty-three million, twenty-nine thousand, one hundred twenty".