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80695440 = 243557593
BaseRepresentation
bin1001100111101…
…01000010010000
312121211202100000
410303311002100
5131124223230
612001330000
71666620450
oct463650220
9177752300
1080695440
1141606751
1223036900
1313944aa7
14aa07d60
15713eb60
hex4cf5090

80695440 has 240 divisors, whose sum is σ = 321729408. Its totient is φ = 18413568.

The previous prime is 80695369. The next prime is 80695493. The reversal of 80695440 is 4459608.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 80695395 and 80695404.

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 47 ways as a sum of consecutive naturals, for example, 135784 + ... + 136376.

Almost surely, 280695440 is an apocalyptic number.

80695440 is a gapful number since it is divisible by the number (80) 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 80695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

80695440 is an abundant number, since it is smaller than the sum of its proper divisors (241033968).

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

80695440 is a wasteful number, since it uses less digits than its factorization.

80695440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80695440 is about 8983.0640652285. The cubic root of 80695440 is about 432.1319041656.

The spelling of 80695440 in words is "eighty million, six hundred ninety-five thousand, four hundred forty".