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129414132 = 22331770487
BaseRepresentation
bin1111011011010…
…11001111110100
3100000111220211000
413231223033310
5231112223012
620501443300
73131000451
oct755531764
9300456730
10129414132
1167061831
1237410530
1320a71c13
141328a828
15b564ddc
hex7b6b3f4

129414132 has 48 divisors (see below), whose sum is σ = 355259520. Its totient is φ = 40599936.

The previous prime is 129414121. The next prime is 129414139. The reversal of 129414132 is 231414921.

It is a happy number.

It is a super-2 number, since 2×1294141322 = 33496035122626848, which contains 22 as substring.

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.

It is a junction number, because it is equal to n+sod(n) for n = 129414096 and 129414105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129414139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33408 + ... + 37079.

It is an arithmetic number, because the mean of its divisors is an integer number (7401240).

Almost surely, 2129414132 is an apocalyptic number.

129414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129414132 is an abundant number, since it is smaller than the sum of its proper divisors (225845388).

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

129414132 is a wasteful number, since it uses less digits than its factorization.

129414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70517 (or 70509 counting only the distinct ones).

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

The square root of 129414132 is about 11376.0332277996. The cubic root of 129414132 is about 505.8175588326.

The spelling of 129414132 in words is "one hundred twenty-nine million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 70487 140974 211461 281948 422922 634383 845844 1198279 1268766 1903149 2396558 2537532 3594837 3806298 4793116 7189674 7612596 10784511 14379348 21569022 32353533 43138044 64707066 129414132