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129321440 = 2552947593
BaseRepresentation
bin1111011010101…
…00100111100000
3100000100012122222
413231110213200
5231101241230
620455450212
73130133303
oct755244740
9300305588
10129321440
1166aa9126
1237386968
1320a3b981
1413264b3a
15b5476e5
hex7b549e0

129321440 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 48799744.

The previous prime is 129321427. The next prime is 129321461. The reversal of 129321440 is 44123921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217784 + ... + 218376.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2129321440 is an apocalyptic number.

129321440 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 129321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

129321440 is an abundant number, since it is smaller than the sum of its proper divisors (194004640).

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

129321440 is a wasteful number, since it uses less digits than its factorization.

129321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 129321440 is about 11371.9584944723. The cubic root of 129321440 is about 505.6967671832.

The spelling of 129321440 in words is "one hundred twenty-nine million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 593 752 928 940 1160 1186 1363 1504 1880 2320 2372 2726 2965 3760 4640 4744 5452 5930 6815 7520 9488 10904 11860 13630 17197 18976 21808 23720 27260 27871 34394 43616 47440 54520 55742 68788 85985 94880 109040 111484 137576 139355 171970 218080 222968 275152 278710 343940 445936 550304 557420 687880 808259 891872 1114840 1375760 1616518 2229680 2751520 3233036 4041295 4459360 6466072 8082590 12932144 16165180 25864288 32330360 64660720 129321440