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129466480 = 245111311317
BaseRepresentation
bin1111011011110…
…00000001110000
3100000121120121211
413231320001300
5231120411410
620502525504
73131306203
oct755700160
9300546554
10129466480
11670980a0
1237436894
1320a8c9b0
14132a193a
15b57568a
hex7b78070

129466480 has 80 divisors (see below), whose sum is σ = 353664864. Its totient is φ = 43453440.

The previous prime is 129466433. The next prime is 129466483. The reversal of 129466480 is 84664921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129466483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782 + ... + 17098.

Almost surely, 2129466480 is an apocalyptic number.

129466480 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 129466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832432).

129466480 is an abundant number, since it is smaller than the sum of its proper divisors (224198384).

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

129466480 is a wasteful number, since it uses less digits than its factorization.

129466480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 129466480 is about 11378.3337971779. Note that the first 3 decimals coincide. The cubic root of 129466480 is about 505.8857506850.

The spelling of 129466480 in words is "one hundred twenty-nine million, four hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11317 11440 22634 45268 56585 90536 113170 124487 147121 181072 226340 248974 294242 452680 497948 588484 622435 735605 905360 995896 1176968 1244870 1471210 1618331 1991792 2353936 2489740 2942420 3236662 4979480 5884840 6473324 8091655 9958960 11769680 12946648 16183310 25893296 32366620 64733240 129466480