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80106144 = 253834439
BaseRepresentation
bin1001100011001…
…01001010100000
312120201210222020
410301211022200
5131001344034
611540541440
71661614416
oct461451240
9176653866
1080106144
1141243a28
12229b1880
13137997b1
14a8d32b6
157075249
hex4c652a0

80106144 has 24 divisors (see below), whose sum is σ = 210278880. Its totient is φ = 26702016.

The previous prime is 80106127. The next prime is 80106157. The reversal of 80106144 is 44160108.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417124 + ... + 417315.

It is an arithmetic number, because the mean of its divisors is an integer number (8761620).

Almost surely, 280106144 is an apocalyptic number.

It is an amenable number.

80106144 is an abundant number, since it is smaller than the sum of its proper divisors (130172736).

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

80106144 is a wasteful number, since it uses less digits than its factorization.

80106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834452 (or 834444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80106144 is about 8950.2035731038. The cubic root of 80106144 is about 431.0774207168.

The spelling of 80106144 in words is "eighty million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 834439 1668878 2503317 3337756 5006634 6675512 10013268 13351024 20026536 26702048 40053072 80106144