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123485148 = 22341273001
BaseRepresentation
bin1110101110000…
…11101111011100
322121100200210000
413113003233130
5223103011043
620130414300
73026415003
oct727035734
9277320700
10123485148
1163782246
1235431390
131c777347
1412585c3a
15ac932d3
hex75c3bdc

123485148 has 60 divisors (see below), whose sum is σ = 325464832. Its totient is φ = 40824000.

The previous prime is 123485113. The next prime is 123485189. The reversal of 123485148 is 841584321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39648 + ... + 42648.

Almost surely, 2123485148 is an apocalyptic number.

123485148 is a gapful number since it is divisible by the number (18) 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 123485148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732416).

123485148 is an abundant number, since it is smaller than the sum of its proper divisors (201979684).

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

123485148 is a wasteful number, since it uses less digits than its factorization.

123485148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3133 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 123485148 is about 11112.3871422841. The cubic root of 123485148 is about 497.9719827466.

The spelling of 123485148 in words is "one hundred twenty-three million, four hundred eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3001 3429 4572 6002 6858 9003 10287 12004 13716 18006 20574 27009 36012 41148 54018 81027 108036 162054 243081 324108 381127 486162 762254 972324 1143381 1524508 2286762 3430143 4573524 6860286 10290429 13720572 20580858 30871287 41161716 61742574 123485148