Search a number
-
+
129674088 = 23331921663
BaseRepresentation
bin1111011101010…
…10101101101000
3100001000010102000
413232222231220
5231144032323
620511211000
73133132365
oct756525550
9301003360
10129674088
116721a075
1237516a60
1320b3333b
141331746c
15b5b6e43
hex7baab68

129674088 has 96 divisors (see below), whose sum is σ = 380390400. Its totient is φ = 40925088.

The previous prime is 129674087. The next prime is 129674089. The reversal of 129674088 is 880476921.

It is an interprime number because it is at equal distance from previous prime (129674087) and next prime (129674089).

It is not an unprimeable number, because it can be changed into a prime (129674087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77145 + ... + 78807.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2129674088 is an apocalyptic number.

129674088 is a gapful number since it is divisible by the number (18) 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 129674088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

129674088 is an abundant number, since it is smaller than the sum of its proper divisors (250716312).

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

129674088 is a wasteful number, since it uses less digits than its factorization.

129674088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 129674088 is about 11387.4530954029. The cubic root of 129674088 is about 506.1560132792.

The spelling of 129674088 in words is "one hundred twenty-nine million, six hundred seventy-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 1663 2052 2166 2888 3249 3326 4104 4332 4989 6498 6652 8664 9747 9978 12996 13304 14967 19494 19956 25992 29934 31597 38988 39912 44901 59868 63194 77976 89802 94791 119736 126388 179604 189582 252776 284373 359208 379164 568746 600343 758328 853119 1137492 1200686 1706238 1801029 2274984 2401372 3412476 3602058 4802744 5403087 6824952 7204116 10806174 14408232 16209261 21612348 32418522 43224696 64837044 129674088