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97148520 = 233257192029
BaseRepresentation
bin1011100101001…
…01111001101000
320202210122201100
411302211321220
5144332223040
613350121400
72256514560
oct562457150
9222718640
1097148520
114a924137
1228650260
1317185941
14cc8bda0
1587deb30
hex5ca5e68

97148520 has 192 divisors, whose sum is σ = 380016000. Its totient is φ = 21026304.

The previous prime is 97148503. The next prime is 97148531. The reversal of 97148520 is 2584179.

97148520 is a `hidden beast` number, since 97 + 1 + 48 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46866 + ... + 48894.

It is an arithmetic number, because the mean of its divisors is an integer number (1979250).

Almost surely, 297148520 is an apocalyptic number.

97148520 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 97148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190008000).

97148520 is an abundant number, since it is smaller than the sum of its proper divisors (282867480).

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

97148520 is a wasteful number, since it uses less digits than its factorization.

97148520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97148520 is about 9856.3948784533. The cubic root of 97148520 is about 459.7044730654.

The spelling of 97148520 in words is "ninety-seven million, one hundred forty-eight thousand, five hundred twenty".