Search a number
-
+
123014880 = 2532585427
BaseRepresentation
bin1110101010100…
…00111011100000
322120110210200200
413111100323200
5222442434010
620112345200
73022415652
oct725207340
9276423620
10123014880
116349099a
1235245200
131c641291
14124a26d2
15abedcc0
hex7550ee0

123014880 has 72 divisors (see below), whose sum is σ = 419793192. Its totient is φ = 32803584.

The previous prime is 123014819. The next prime is 123014891. The reversal of 123014880 is 88410321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 41274 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (5830461).

Almost surely, 2123014880 is an apocalyptic number.

123014880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123014880 is an abundant number, since it is smaller than the sum of its proper divisors (296778312).

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

123014880 is a wasteful number, since it uses less digits than its factorization.

123014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85448 (or 85437 counting only the distinct ones).

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

The square root of 123014880 is about 11091.2073283300. The cubic root of 123014880 is about 497.3390370073.

It can be divided in two parts, 1230 and 14880, that added together give a triangular number (16110 = T179).

The spelling of 123014880 in words is "one hundred twenty-three million, fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 85427 170854 256281 341708 427135 512562 683416 768843 854270 1025124 1281405 1366832 1537686 1708540 2050248 2562810 2733664 3075372 3417080 3844215 4100496 5125620 6150744 6834160 7688430 8200992 10251240 12301488 13668320 15376860 20502480 24602976 30753720 41004960 61507440 123014880