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97788060 = 2236519353
BaseRepresentation
bin1011101010000…
…10000010011100
320211000011000000
411311002002130
5200013204220
613411534300
72265120246
oct565020234
9224004000
1097788060
1150220687
12288ba390
131734aa76
14cdb7096
1588b9390
hex5d4209c

97788060 has 168 divisors, whose sum is σ = 325014480. Its totient is φ = 24634368.

The previous prime is 97788007. The next prime is 97788073. The reversal of 97788060 is 6088779.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 97787997 and 97788015.

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 55 ways as a sum of consecutive naturals, for example, 276844 + ... + 277196.

It is an arithmetic number, because the mean of its divisors is an integer number (1934610).

Almost surely, 297788060 is an apocalyptic number.

97788060 is a gapful number since it is divisible by the number (90) 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 97788060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162507240).

97788060 is an abundant number, since it is smaller than the sum of its proper divisors (227226420).

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

97788060 is a wasteful number, since it uses less digits than its factorization.

97788060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 97788060 is about 9888.7845562536. The cubic root of 97788060 is about 460.7110301864.

The spelling of 97788060 in words is "ninety-seven million, seven hundred eighty-eight thousand, sixty".