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97478640 = 2434572307
BaseRepresentation
bin1011100111101…
…10011111110000
320210102102120000
411303312133300
5144423304030
613401150000
72262361200
oct563663760
9223372500
1097478640
115002a166
122878b300
131726cc8c
14cd36400
158857860
hex5cf67f0

97478640 has 300 divisors, whose sum is σ = 395115336. Its totient is φ = 22208256.

The previous prime is 97478627. The next prime is 97478677. The reversal of 97478640 is 4687479.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317367 + ... + 317673.

Almost surely, 297478640 is an apocalyptic number.

97478640 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 97478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197557668).

97478640 is an abundant number, since it is smaller than the sum of its proper divisors (297636696).

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

97478640 is a wasteful number, since it uses less digits than its factorization.

97478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 97478640 is about 9873.1271641765. The cubic root of 97478640 is about 460.2245910207.

The spelling of 97478640 in words is "ninety-seven million, four hundred seventy-eight thousand, six hundred forty".