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129949440 = 283543787
BaseRepresentation
bin1111011111011…
…01111100000000
3100001112010010020
413233231330000
5231231340230
620521133440
73135360225
oct757557400
9301463106
10129949440
1167397a35
123762a280
1320bcb77a
141338994c
15b61d810
hex7bedf00

129949440 has 144 divisors (see below), whose sum is σ = 425217408. Its totient is φ = 33804288.

The previous prime is 129949429. The next prime is 129949441. The reversal of 129949440 is 44949921.

It is a junction number, because it is equal to n+sod(n) for n = 129949392 and 129949401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129949441) 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, 164727 + ... + 165513.

Almost surely, 2129949440 is an apocalyptic number.

129949440 is a gapful number since it is divisible by the number (10) 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 129949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212608704).

129949440 is an abundant number, since it is smaller than the sum of its proper divisors (295267968).

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

129949440 is an equidigital number, since it uses as much as digits as its factorization.

129949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 129949440 is about 11399.5368326963. The cubic root of 129949440 is about 506.5140198821.

The spelling of 129949440 in words is "one hundred twenty-nine million, nine hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 787 860 960 1032 1280 1290 1376 1574 1720 1920 2064 2361 2580 2752 3148 3440 3840 3935 4128 4722 5160 5504 6296 6880 7870 8256 9444 10320 11008 11805 12592 13760 15740 16512 18888 20640 23610 25184 27520 31480 33024 33841 37776 41280 47220 50368 55040 62960 67682 75552 82560 94440 100736 101523 125920 135364 151104 165120 169205 188880 201472 203046 251840 270728 302208 338410 377760 406092 503680 507615 541456 604416 676820 755520 812184 1007360 1015230 1082912 1353640 1511040 1624368 2030460 2165824 2707280 3022080 3248736 4060920 4331648 5414560 6497472 8121840 8663296 10829120 12994944 16243680 21658240 25989888 32487360 43316480 64974720 129949440