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148680672 = 2537221251
BaseRepresentation
bin10001101110010…
…10111111100000
3101100202202112120
420313022333200
5301030240142
622430424240
73453523230
oct1067127740
9340682476
10148680672
1176a20a98
1241962080
1324a5953a
1415a63cc0
15d0bd7ec
hex8dcafe0

148680672 has 48 divisors (see below), whose sum is σ = 446044032. Its totient is φ = 42480000.

The previous prime is 148680667. The next prime is 148680737. The reversal of 148680672 is 276086841.

148680672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109954 + ... + 111297.

It is an arithmetic number, because the mean of its divisors is an integer number (9292584).

Almost surely, 2148680672 is an apocalyptic number.

148680672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148680672 is an abundant number, since it is smaller than the sum of its proper divisors (297363360).

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

148680672 is a wasteful number, since it uses less digits than its factorization.

148680672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221271 (or 221263 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 148680672 is about 12193.4684155084. The cubic root of 148680672 is about 529.7669225534.

The spelling of 148680672 in words is "one hundred forty-eight million, six hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 221251 442502 663753 885004 1327506 1548757 1770008 2655012 3097514 3540016 4646271 5310024 6195028 7080032 9292542 10620048 12390056 18585084 21240096 24780112 37170168 49560224 74340336 148680672