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148106000 = 2453771149
BaseRepresentation
bin10001101001111…
…10101100010000
3101022200120020102
420310332230100
5300403343000
622410231532
73445610630
oct1064765420
9338616212
10148106000
1176669259
12417255a8
13248b7ab3
14159546c0
15d0083d5
hex8d3eb10

148106000 has 160 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 49728000.

The previous prime is 148105973. The next prime is 148106047. The reversal of 148106000 is 601841.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993926 + ... + 994074.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2148106000 is an apocalyptic number.

148106000 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 148106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

148106000 is an abundant number, since it is smaller than the sum of its proper divisors (269724400).

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

148106000 is a wasteful number, since it uses less digits than its factorization.

148106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 148106000 is about 12169.8808539772. The cubic root of 148106000 is about 529.0834997189.

Adding to 148106000 its reverse (601841), we get a palindrome (148707841).

The spelling of 148106000 in words is "one hundred forty-eight million, one hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 149 175 200 250 280 284 298 350 355 400 497 500 560 568 596 700 710 745 875 994 1000 1043 1136 1192 1400 1420 1490 1750 1775 1988 2000 2086 2384 2485 2800 2840 2980 3500 3550 3725 3976 4172 4970 5215 5680 5960 7000 7100 7450 7952 8344 8875 9940 10430 10579 11920 12425 14000 14200 14900 16688 17750 18625 19880 20860 21158 24850 26075 28400 29800 35500 37250 39760 41720 42316 49700 52150 52895 59600 62125 71000 74053 74500 83440 84632 99400 104300 105790 124250 130375 142000 148106 149000 169264 198800 208600 211580 248500 260750 264475 296212 298000 370265 417200 423160 497000 521500 528950 592424 740530 846320 994000 1043000 1057900 1184848 1322375 1481060 1851325 2086000 2115800 2644750 2962120 3702650 4231600 5289500 5924240 7405300 9256625 10579000 14810600 18513250 21158000 29621200 37026500 74053000 148106000