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997670520 = 233557113143
BaseRepresentation
bin111011011101110…
…011111001111000
32120112021220200000
4323131303321320
54020400424040
6242555313000
733503026260
oct7335637170
92515256600
10997670520
114721826a0
1223a14b760
1312b902ab2
14967027a0
155c8c1130
hex3b773e78

997670520 has 768 divisors, whose sum is σ = 4428103680. Its totient is φ = 195955200.

The previous prime is 997670519. The next prime is 997670521. The reversal of 997670520 is 25076799.

It is an interprime number because it is at equal distance from previous prime (997670519) and next prime (997670521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997670521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23201619 + ... + 23201661.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2997670520 is an apocalyptic number.

997670520 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 997670520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214051840).

997670520 is an abundant number, since it is smaller than the sum of its proper divisors (3430433160).

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

997670520 is a wasteful number, since it uses less digits than its factorization.

997670520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 997670520 is about 31585.9228138106. The cubic root of 997670520 is about 999.2229029433. Note that the first 3 decimals are identical.

The spelling of 997670520 in words is "nine hundred ninety-seven million, six hundred seventy thousand, five hundred twenty".