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129110814 = 23371917977
BaseRepresentation
bin1111011001000…
…01001100011110
322222221111202000
413230201030132
5231023021224
620451143130
73125265240
oct754411436
9288844660
10129110814
1166974958
12372a4aa6
1320996b41
141320c090
15b5050c9
hex7b2131e

129110814 has 64 divisors (see below), whose sum is σ = 345177600. Its totient is φ = 34945344.

The previous prime is 129110777. The next prime is 129110837. The reversal of 129110814 is 418011921.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1807 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (5393400).

Almost surely, 2129110814 is an apocalyptic number.

129110814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129110814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172588800).

129110814 is an abundant number, since it is smaller than the sum of its proper divisors (216066786).

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

129110814 is a wasteful number, since it uses less digits than its factorization.

129110814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18014 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 129110814 is about 11362.6939587406. The cubic root of 129110814 is about 505.4220750013.

The spelling of 129110814 in words is "one hundred twenty-nine million, one hundred ten thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 17977 35954 53931 107862 125839 161793 251678 323586 341563 377517 485379 683126 755034 970758 1024689 1132551 2049378 2265102 2390941 3074067 3397653 4781882 6148134 6795306 7172823 9222201 14345646 18444402 21518469 43036938 64555407 129110814