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97669440 = 26325113083
BaseRepresentation
bin1011101001001…
…01000101000000
320210210010021200
411310211011000
5200000410230
613405221200
72264114361
oct564450500
9223703250
1097669440
115014a550
1228861800
1317308a8b
14cd85b68
158894160
hex5d25140

97669440 has 168 divisors, whose sum is σ = 366601248. Its totient is φ = 23669760.

The previous prime is 97669433. The next prime is 97669447. The reversal of 97669440 is 4496679.

It is an interprime number because it is at equal distance from previous prime (97669433) and next prime (97669447).

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 (97669447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30139 + ... + 33221.

Almost surely, 297669440 is an apocalyptic number.

97669440 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 97669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183300624).

97669440 is an abundant number, since it is smaller than the sum of its proper divisors (268931808).

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

97669440 is a wasteful number, since it uses less digits than its factorization.

97669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97669440 is about 9882.7850325705. The cubic root of 97669440 is about 460.5246691436.

The spelling of 97669440 in words is "ninety-seven million, six hundred sixty-nine thousand, four hundred forty".