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129114432 = 263374719
BaseRepresentation
bin1111011001000…
…10000101000000
322222221200201000
413230202011000
5231023130212
620451212000
73125311626
oct754420500
9288850630
10129114432
1166977647
12372a7000
1320998695
141320d516
15b5061dc
hex7b22140

129114432 has 56 divisors (see below), whose sum is σ = 379577600. Its totient is φ = 43037568.

The previous prime is 129114407. The next prime is 129114457. The reversal of 129114432 is 234411921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129114407) and next prime (129114457).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129114396 and 129114405.

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, 35632 + ... + 39087.

Almost surely, 2129114432 is an apocalyptic number.

129114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129114432 is an abundant number, since it is smaller than the sum of its proper divisors (250463168).

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

129114432 is an equidigital number, since it uses as much as digits as its factorization.

129114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74740 (or 74724 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 129114432 is about 11362.8531628284. The cubic root of 129114432 is about 505.4267960104.

The spelling of 129114432 in words is "one hundred twenty-nine million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 74719 149438 224157 298876 448314 597752 672471 896628 1195504 1344942 1793256 2017413 2391008 2689884 3586512 4034826 4782016 5379768 7173024 8069652 10759536 14346048 16139304 21519072 32278608 43038144 64557216 129114432