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129810432 = 214319139
BaseRepresentation
bin1111011110011…
…00000000000000
3100001021001102210
413233030000000
5231212413212
620514142120
73134241033
oct757140000
9301231383
10129810432
1167302554
1237581940
1320b8040b
141335101a
15b5e253c
hex7bcc000

129810432 has 120 divisors (see below), whose sum is σ = 366990400. Its totient is φ = 40697856.

The previous prime is 129810431. The next prime is 129810433. The reversal of 129810432 is 234018921.

It is an interprime number because it is at equal distance from previous prime (129810431) and next prime (129810433).

It is a self number, because there is not a number n which added to its sum of digits gives 129810432.

It is not an unprimeable number, because it can be changed into a prime (129810431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933819 + ... + 933957.

Almost surely, 2129810432 is an apocalyptic number.

129810432 is a gapful number since it is divisible by the number (12) 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 129810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183495200).

129810432 is an abundant number, since it is smaller than the sum of its proper divisors (237179968).

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

129810432 is an equidigital number, since it uses as much as digits as its factorization.

129810432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 129810432 is about 11393.4381114745. The cubic root of 129810432 is about 506.3333480206. Note that the first 4 decimals are identical.

The spelling of 129810432 in words is "one hundred twenty-nine million, eight hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 139 152 192 228 256 278 304 384 417 456 512 556 608 768 834 912 1024 1112 1216 1536 1668 1824 2048 2224 2432 2641 3072 3336 3648 4096 4448 4864 5282 6144 6672 7296 7923 8192 8896 9728 10564 12288 13344 14592 15846 16384 17792 19456 21128 24576 26688 29184 31692 35584 38912 42256 49152 53376 58368 63384 71168 77824 84512 106752 116736 126768 142336 155648 169024 213504 233472 253536 284672 311296 338048 427008 466944 507072 569344 676096 854016 933888 1014144 1138688 1352192 1708032 2028288 2277376 2704384 3416064 4056576 5408768 6832128 8113152 10817536 16226304 21635072 32452608 43270144 64905216 129810432