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129121608 = 233711107653
BaseRepresentation
bin1111011001000…
…11110101001000
322222222001112210
413230203311020
5231023342413
620451305120
73125341560
oct754436510
9288861483
10129121608
1166981a80
12372ab1a0
132099ba25
1413211da0
15b5083c3
hex7b23d48

129121608 has 128 divisors (see below), whose sum is σ = 406840320. Its totient is φ = 33173760.

The previous prime is 129121607. The next prime is 129121627. The reversal of 129121608 is 806121921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (129121607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197410 + ... + 198062.

It is an arithmetic number, because the mean of its divisors is an integer number (3178440).

Almost surely, 2129121608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129121608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203420160).

129121608 is an abundant number, since it is smaller than the sum of its proper divisors (277718712).

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

129121608 is a wasteful number, since it uses less digits than its factorization.

129121608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 129121608 is about 11363.1689242042. The cubic root of 129121608 is about 505.4361594757.

The spelling of 129121608 in words is "one hundred twenty-nine million, one hundred twenty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 107 132 154 168 214 231 264 308 321 428 462 616 642 653 749 856 924 1177 1284 1306 1498 1848 1959 2247 2354 2568 2612 2996 3531 3918 4494 4571 4708 5224 5992 7062 7183 7836 8239 8988 9142 9416 13713 14124 14366 15672 16478 17976 18284 21549 24717 27426 28248 28732 32956 36568 43098 49434 50281 54852 57464 65912 69871 86196 98868 100562 109704 139742 150843 172392 197736 201124 209613 279484 301686 402248 419226 489097 558968 603372 768581 838452 978194 1206744 1467291 1537162 1676904 1956388 2305743 2934582 3074324 3912776 4611486 5380067 5869164 6148648 9222972 10760134 11738328 16140201 18445944 21520268 32280402 43040536 64560804 129121608