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2604060900 = 223125272
BaseRepresentation
bin1001101100110110…
…1101000011100100
320201111000000000000
42123031231003210
520313114422100
61110222021300
7121350103200
oct23315550344
96644000000
102604060900
111116a19551
12608117830
1332666544c
141a9bbbb00
15103933900
hex9b36d0e4

2604060900 has 351 divisors, whose sum is σ = 9860084409. Its totient is φ = 595213920.

The previous prime is 2604060871. The next prime is 2604060973. The reversal of 2604060900 is 90604062.

The square root of 2604060900 is 51030.

It is a perfect power (a square), and thus also a powerful number.

2604060900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 937461924 + 1666598976 = 30618^2 + 40824^2 .

It is a super-2 number, since 2×26040609002 = 13562266341817620000, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 372008697 + ... + 372008703.

Almost surely, 22604060900 is an apocalyptic number.

2604060900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2604060900 is the 51030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604060900

2604060900 is an abundant number, since it is smaller than the sum of its proper divisors (7256023509).

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

2604060900 is an frugal number, since it uses more digits than its factorization.

2604060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 2604060900 is about 1375.7843943159.

Adding to 2604060900 its reverse (90604062), we get a palindrome (2694664962).

The spelling of 2604060900 in words is "two billion, six hundred four million, sixty thousand, nine hundred".