Search a number
-
+
129424640 = 285101113
BaseRepresentation
bin1111011011011…
…01110100000000
3100000112110020012
413231231310000
5231113042030
620502004052
73131043212
oct755556400
9300473205
10129424640
1167069714
1237416628
1320a76937
14132905b2
15b568095
hex7b6dd00

129424640 has 36 divisors (see below), whose sum is σ = 310015524. Its totient is φ = 51769344.

The previous prime is 129424613. The next prime is 129424643. The reversal of 129424640 is 46424921.

It can be written as a sum of positive squares in 2 ways, for example, as 17572864 + 111851776 = 4192^2 + 10576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 129424597 and 129424606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129424643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49277 + ... + 51836.

Almost surely, 2129424640 is an apocalyptic number.

129424640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129424640 is an abundant number, since it is smaller than the sum of its proper divisors (180590884).

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

129424640 is an equidigital number, since it uses as much as digits as its factorization.

129424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101134 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 129424640 is about 11376.4950665836. The cubic root of 129424640 is about 505.8312487003.

The spelling of 129424640 in words is "one hundred twenty-nine million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 101113 202226 404452 505565 808904 1011130 1617808 2022260 3235616 4044520 6471232 8089040 12942464 16178080 25884928 32356160 64712320 129424640