Search a number
-
+
129924080 = 245111341277
BaseRepresentation
bin1111011111001…
…11101111110000
3100001110211022222
413233213233300
5231230032310
620520420212
73135223256
oct757475760
9301424288
10129924080
116737a980
1237617668
1320bc0070
14133805d6
15b616055
hex7be7bf0

129924080 has 160 divisors (see below), whose sum is σ = 364851648. Its totient is φ = 42393600.

The previous prime is 129924049. The next prime is 129924127. The reversal of 129924080 is 80429921.

129924080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 129924080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468902 + ... + 469178.

Almost surely, 2129924080 is an apocalyptic number.

129924080 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 129924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182425824).

129924080 is an abundant number, since it is smaller than the sum of its proper divisors (234927568).

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

129924080 is a wasteful number, since it uses less digits than its factorization.

129924080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 129924080 is about 11398.4244525285. The cubic root of 129924080 is about 506.4810685250.

The spelling of 129924080 in words is "one hundred twenty-nine million, nine hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 80 82 88 104 110 130 143 164 176 205 208 220 260 277 286 328 410 440 451 520 533 554 572 656 715 820 880 902 1040 1066 1108 1144 1385 1430 1640 1804 2132 2216 2255 2288 2665 2770 2860 3047 3280 3601 3608 4264 4432 4510 5330 5540 5720 5863 6094 7202 7216 8528 9020 10660 11080 11357 11440 11726 12188 14404 15235 18005 18040 21320 22160 22714 23452 24376 28808 29315 30470 36010 36080 39611 42640 45428 46904 48752 56785 57616 58630 60940 72020 79222 90856 93808 113570 117260 121880 124927 144040 147641 158444 181712 198055 227140 234520 243760 249854 288080 295282 316888 396110 454280 469040 499708 590564 624635 633776 738205 792220 908560 999416 1181128 1249270 1476410 1584440 1624051 1998832 2362256 2498540 2952820 3168880 3248102 4997080 5905640 6496204 8120255 9994160 11811280 12992408 16240510 25984816 32481020 64962040 129924080