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129240144 = 24331127197
BaseRepresentation
bin1111011010000…
…00110001010000
3100000012002011000
413231000301100
5231041141034
620454022000
73126344265
oct755006120
9300162130
10129240144
1166a53040
1237347900
1320a10977
141324326c
15b52d599
hex7b40c50

129240144 has 80 divisors (see below), whose sum is σ = 404706240. Its totient is φ = 39162240.

The previous prime is 129240143. The next prime is 129240161. The reversal of 129240144 is 441042921.

It is a happy number.

It is a super-2 number, since 2×1292401442 = 33406029642281472, which contains 22 as substring.

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 (129240143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (5058828).

Almost surely, 2129240144 is an apocalyptic number.

It is an amenable number.

129240144 is an abundant number, since it is smaller than the sum of its proper divisors (275466096).

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

129240144 is a wasteful number, since it uses less digits than its factorization.

129240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27225 (or 27213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 129240144 is about 11368.3835262539. The cubic root of 129240144 is about 505.5907787201.

The spelling of 129240144 in words is "one hundred twenty-nine million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 27197 54394 81591 108788 163182 217576 244773 299167 326364 435152 489546 598334 652728 734319 897501 979092 1196668 1305456 1468638 1795002 1958184 2393336 2692503 2937276 3590004 3916368 4786672 5385006 5874552 7180008 8077509 10770012 11749104 14360016 16155018 21540024 32310036 43080048 64620072 129240144