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129488320 = 26513171831
BaseRepresentation
bin1111011011111…
…01010111000000
3100000122200120201
413231331113000
5231122111240
620503214544
73131426653
oct755752700
9300580521
10129488320
1167102545
1237447454
1320a99910
14132a989a
15b57bd9a
hex7b7d5c0

129488320 has 112 divisors (see below), whose sum is σ = 351787968. Its totient is φ = 44974080.

The previous prime is 129488267. The next prime is 129488323. The reversal of 129488320 is 23884921.

It is a self number, because there is not a number n which added to its sum of digits gives 129488320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129488323) 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, 69805 + ... + 71635.

It is an arithmetic number, because the mean of its divisors is an integer number (3140964).

Almost surely, 2129488320 is an apocalyptic number.

129488320 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 129488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175893984).

129488320 is an abundant number, since it is smaller than the sum of its proper divisors (222299648).

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

129488320 is a wasteful number, since it uses less digits than its factorization.

129488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 129488320 is about 11379.2934754316. The cubic root of 129488320 is about 505.9141954315.

The spelling of 129488320 in words is "one hundred twenty-nine million, four hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 1831 2080 2210 2720 3536 3662 4160 4420 5440 7072 7324 8840 9155 14144 14648 17680 18310 23803 29296 31127 35360 36620 47606 58592 62254 70720 73240 95212 117184 119015 124508 146480 155635 190424 238030 249016 292960 311270 380848 404651 476060 498032 585920 622540 761696 809302 952120 996064 1245080 1523392 1618604 1904240 1992128 2023255 2490160 3237208 3808480 4046510 4980320 6474416 7616960 8093020 9960640 12948832 16186040 25897664 32372080 64744160 129488320