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129042720 = 253553319
BaseRepresentation
bin1111011000100…
…00100100100000
322222211001100000
413230100210200
5231013331340
620445500000
73124562562
oct754204440
9288731300
10129042720
1166928784
1237271600
1320971b51
14131d1332
15b4ded30
hex7b10920

129042720 has 144 divisors (see below), whose sum is σ = 456805440. Its totient is φ = 34401024.

The previous prime is 129042709. The next prime is 129042731. The reversal of 129042720 is 27240921.

It is an interprime number because it is at equal distance from previous prime (129042709) and next prime (129042731).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37221 + ... + 40539.

It is an arithmetic number, because the mean of its divisors is an integer number (3172260).

Almost surely, 2129042720 is an apocalyptic number.

129042720 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 129042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228402720).

129042720 is an abundant number, since it is smaller than the sum of its proper divisors (327762720).

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

129042720 is an equidigital number, since it uses as much as digits as its factorization.

129042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 129042720 is about 11359.6971790625. The cubic root of 129042720 is about 505.3332049268. Note that the first 3 decimals are identical.

The spelling of 129042720 in words is "one hundred twenty-nine million, forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3319 3888 4320 4860 6480 6638 7776 9720 9957 12960 13276 16595 19440 19914 26552 29871 33190 38880 39828 49785 53104 59742 66380 79656 89613 99570 106208 119484 132760 149355 159312 179226 199140 238968 265520 268839 298710 318624 358452 398280 448065 477936 531040 537678 597420 716904 796560 806517 896130 955872 1075356 1194840 1344195 1433808 1593120 1613034 1792260 2150712 2389680 2688390 2867616 3226068 3584520 4032585 4301424 4779360 5376780 6452136 7169040 8065170 8602848 10753560 12904272 14338080 16130340 21507120 25808544 32260680 43014240 64521360 129042720