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148103600 = 24523710007
BaseRepresentation
bin10001101001111…
…10000110110000
3101022200102221112
420310332012300
5300403303400
622410212452
73445600631
oct1064760660
9338612845
10148103600
1176667477
1241724128
13248b6988
1415953888
15d007835
hex8d3e1b0

148103600 has 60 divisors (see below), whose sum is σ = 365472144. Its totient is φ = 57634560.

The previous prime is 148103569. The next prime is 148103671. The reversal of 148103600 is 6301841.

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 11 ways as a sum of consecutive naturals, for example, 9797 + ... + 19803.

Almost surely, 2148103600 is an apocalyptic number.

148103600 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 148103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736072).

148103600 is an abundant number, since it is smaller than the sum of its proper divisors (217368544).

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

148103600 is a wasteful number, since it uses less digits than its factorization.

148103600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 148103600 is about 12169.7822494899. The cubic root of 148103600 is about 529.0806418395.

The spelling of 148103600 in words is "one hundred forty-eight million, one hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 10007 14800 20014 40028 50035 80056 100070 160112 200140 250175 370259 400280 500350 740518 800560 1000700 1481036 1851295 2001400 2962072 3702590 4002800 5924144 7405180 9256475 14810360 18512950 29620720 37025900 74051800 148103600