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80690148 = 223371131313
BaseRepresentation
bin1001100111100…
…11101111100100
312121211111002000
410303303233210
5131124041043
612001245300
71666566150
oct463635744
9177744060
1080690148
1141602780
1223033830
1313942566
14aa06060
15713d2d3
hex4cf3be4

80690148 has 192 divisors, whose sum is σ = 270090240. Its totient is φ = 20217600.

The previous prime is 80690147. The next prime is 80690161. The reversal of 80690148 is 84109608.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (80690147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257640 + ... + 257952.

It is an arithmetic number, because the mean of its divisors is an integer number (1406720).

Almost surely, 280690148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80690148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135045120).

80690148 is an abundant number, since it is smaller than the sum of its proper divisors (189400092).

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

80690148 is a wasteful number, since it uses less digits than its factorization.

80690148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80690148 is about 8982.7695061156. The cubic root of 80690148 is about 432.1224575680.

Subtracting from 80690148 its product of nonzero digits (13824), we obtain a square (80676324 = 89822).

The spelling of 80690148 in words is "eighty million, six hundred ninety thousand, one hundred forty-eight".