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6090530400 = 253352457617
BaseRepresentation
bin1011010110000011…
…00001111001100000
3120201110102000001000
411223001201321200
544433133433100
62444205112000
7303633440253
oct55301417140
916643360030
106090530400
112645a446a9
12121b858600
13760a75256
1441ac5709a
15259a6b900
hex16b061e60

6090530400 has 288 divisors, whose sum is σ = 22111397280. Its totient is φ = 1617960960.

The previous prime is 6090530399. The next prime is 6090530401. The reversal of 6090530400 is 40350906.

It is a happy number.

6090530400 is a `hidden beast` number, since 6 + 0 + 90 + 530 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6090530399) and next prime (6090530401).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6090530401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9870892 + ... + 9871508.

It is an arithmetic number, because the mean of its divisors is an integer number (76775685).

Almost surely, 26090530400 is an apocalyptic number.

6090530400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6090530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055698640).

6090530400 is an abundant number, since it is smaller than the sum of its proper divisors (16020866880).

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

6090530400 is a wasteful number, since it uses less digits than its factorization.

6090530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6090530400 is about 78041.8503112272. The cubic root of 6090530400 is about 1826.2141567117.

The spelling of 6090530400 in words is "six billion, ninety million, five hundred thirty thousand, four hundred".