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149056080 = 24353111997
BaseRepresentation
bin10001110001001…
…10101001010000
3101101110211111120
420320212221100
5301124243310
622442442240
73456645555
oct1070465120
9341424446
10149056080
1177158048
1241b03380
1324b5b384
1415b20a2c
15d144b70
hex8e26a50

149056080 has 80 divisors (see below), whose sum is σ = 463791744. Its totient is φ = 39600640.

The previous prime is 149056079. The next prime is 149056109. The reversal of 149056080 is 80650941.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 73642 + ... + 75638.

Almost surely, 2149056080 is an apocalyptic number.

149056080 is a gapful number since it is divisible by the number (10) 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 149056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231895872).

149056080 is an abundant number, since it is smaller than the sum of its proper divisors (314735664).

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

149056080 is a wasteful number, since it uses less digits than its factorization.

149056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 149056080 is about 12208.8525259338. The cubic root of 149056080 is about 530.2124222671.

The spelling of 149056080 in words is "one hundred forty-nine million, fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 1997 2488 3110 3732 3994 4665 4976 5991 6220 7464 7988 9330 9985 11982 12440 14928 15976 18660 19970 23964 24880 29955 31952 37320 39940 47928 59910 74640 79880 95856 119820 159760 239640 479280 621067 1242134 1863201 2484268 3105335 3726402 4968536 6210670 7452804 9316005 9937072 12421340 14905608 18632010 24842680 29811216 37264020 49685360 74528040 149056080