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148008600 = 23335227409
BaseRepresentation
bin10001101001001…
…10111010011000
3101022111121122000
420310212322120
5300342233400
622404201000
73445023645
oct1064467230
9338447560
10148008600
1176602063
1241699160
132488266c
141592adcc
15ced9600
hex8d26e98

148008600 has 96 divisors (see below), whose sum is σ = 509826000. Its totient is φ = 39467520.

The previous prime is 148008583. The next prime is 148008607. The reversal of 148008600 is 6800841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148008607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8305 + ... + 19104.

Almost surely, 2148008600 is an apocalyptic number.

148008600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148008600 is an abundant number, since it is smaller than the sum of its proper divisors (361817400).

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

148008600 is a wasteful number, since it uses less digits than its factorization.

148008600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27434 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148008600 is about 12165.8785132846. The cubic root of 148008600 is about 528.9674926393.

The spelling of 148008600 in words is "one hundred forty-eight million, eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 27409 54818 82227 109636 137045 164454 219272 246681 274090 328908 411135 493362 548180 657816 685225 740043 822270 986724 1096360 1233405 1370450 1480086 1644540 1973448 2055675 2466810 2740900 2960172 3289080 3700215 4111350 4933620 5481800 5920344 6167025 7400430 8222700 9867240 12334050 14800860 16445400 18501075 24668100 29601720 37002150 49336200 74004300 148008600