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148814080 = 2851929211
BaseRepresentation
bin10001101111010…
…11100100000000
3101101000112112121
420313223210000
5301044022310
622433334024
73454620202
oct1067534400
9341015477
10148814080
1177002248
1241a07314
1324aa518c
1415a9a772
15d0e80da
hex8deb900

148814080 has 144 divisors (see below), whose sum is σ = 389995200. Its totient is φ = 54190080.

The previous prime is 148814069. The next prime is 148814087. The reversal of 148814080 is 80418841.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (148814087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705175 + ... + 705385.

It is an arithmetic number, because the mean of its divisors is an integer number (2708300).

Almost surely, 2148814080 is an apocalyptic number.

148814080 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 148814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194997600).

148814080 is an abundant number, since it is smaller than the sum of its proper divisors (241181120).

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

148814080 is a wasteful number, since it uses less digits than its factorization.

148814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 148814080 is about 12198.9376586652. The cubic root of 148814080 is about 529.9253247110.

The spelling of 148814080 in words is "one hundred forty-eight million, eight hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 211 232 256 290 304 320 380 422 464 551 580 608 640 760 844 928 1055 1102 1160 1216 1280 1520 1688 1856 2110 2204 2320 2432 2755 3040 3376 3712 4009 4220 4408 4640 4864 5510 6080 6119 6752 7424 8018 8440 8816 9280 11020 12160 12238 13504 16036 16880 17632 18560 20045 22040 24320 24476 27008 30595 32072 33760 35264 37120 40090 44080 48952 54016 61190 64144 67520 70528 80180 88160 97904 116261 122380 128288 135040 141056 160360 176320 195808 232522 244760 256576 270080 320720 352640 391616 465044 489520 513152 581305 641440 705280 783232 930088 979040 1026304 1162610 1282880 1566464 1860176 1958080 2325220 2565760 3720352 3916160 4650440 5131520 7440704 7832320 9300880 14881408 18601760 29762816 37203520 74407040 148814080