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129274240 = 275732767
BaseRepresentation
bin1111011010010…
…01000110000000
3100000020210220211
413231021012000
5231043233430
620454443504
73126545554
oct755110600
9300223824
10129274240
1166a76717
1237363594
1320a23344
1413251864
15b53872a
hex7b49180

129274240 has 64 divisors (see below), whose sum is σ = 313392960. Its totient is φ = 50982912.

The previous prime is 129274207. The next prime is 129274241. The reversal of 129274240 is 42472921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129274241) 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 7 ways as a sum of consecutive naturals, for example, 45337 + ... + 48103.

It is an arithmetic number, because the mean of its divisors is an integer number (4896765).

Almost surely, 2129274240 is an apocalyptic number.

129274240 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 129274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156696480).

129274240 is an abundant number, since it is smaller than the sum of its proper divisors (184118720).

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

129274240 is an equidigital number, since it uses as much as digits as its factorization.

129274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 129274240 is about 11369.8830249040. The cubic root of 129274240 is about 505.6352362880.

The spelling of 129274240 in words is "one hundred twenty-nine million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2767 2920 4672 5534 5840 9344 11068 11680 13835 22136 23360 27670 44272 46720 55340 88544 110680 177088 201991 221360 354176 403982 442720 807964 885440 1009955 1615928 1770880 2019910 3231856 4039820 6463712 8079640 12927424 16159280 25854848 32318560 64637120 129274240