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148105080 = 233253711119
BaseRepresentation
bin10001101001111…
…10011101111000
3101022200111222100
420310332131320
5300403330310
622410223400
73445605144
oct1064763570
9338614870
10148105080
11766685a2
1241724b60
13248b7556
1415954224
15d007ec0
hex8d3e778

148105080 has 96 divisors (see below), whose sum is σ = 494395200. Its totient is φ = 38423808.

The previous prime is 148105049. The next prime is 148105099. The reversal of 148105080 is 80501841.

148105080 is a `hidden beast` number, since 148 + 10 + 508 + 0 = 666.

148105080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1481050802 = 43870229443612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7761 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (5149950).

Almost surely, 2148105080 is an apocalyptic number.

148105080 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 148105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247197600).

148105080 is an abundant number, since it is smaller than the sum of its proper divisors (346290120).

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

148105080 is a wasteful number, since it uses less digits than its factorization.

148105080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 148105080 is about 12169.8430556848. The cubic root of 148105080 is about 529.0824042021.

The spelling of 148105080 in words is "one hundred forty-eight million, one hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 11119 13320 22238 33357 44476 55595 66714 88952 100071 111190 133428 166785 200142 222380 266856 333570 400284 411403 444760 500355 667140 800568 822806 1000710 1234209 1334280 1645612 2001420 2057015 2468418 3291224 3702627 4002840 4114030 4936836 6171045 7405254 8228060 9873672 12342090 14810508 16456120 18513135 24684180 29621016 37026270 49368360 74052540 148105080