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29121660 = 22335199271
BaseRepresentation
bin110111100010…
…1110001111100
32000210112102000
41233011301330
524423343120
62520102300
7502346541
oct157056174
960715360
1029121660
1115490597
129904990
136058269
143c20bc8
152853990
hex1bc5c7c

29121660 has 96 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 7698240.

The previous prime is 29121647. The next prime is 29121667. The reversal of 29121660 is 6612192.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29121667) 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, 107325 + ... + 107595.

It is an arithmetic number, because the mean of its divisors is an integer number (952000).

Almost surely, 229121660 is an apocalyptic number.

29121660 is a gapful number since it is divisible by the number (20) 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 29121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

29121660 is an abundant number, since it is smaller than the sum of its proper divisors (62270340).

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

29121660 is a wasteful number, since it uses less digits than its factorization.

29121660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29121660 is about 5396.4488323341. The cubic root of 29121660 is about 307.6607131341.

The spelling of 29121660 in words is "twenty-nine million, one hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 271 398 540 542 597 796 813 995 1084 1194 1355 1626 1791 1990 2388 2439 2710 2985 3252 3582 3980 4065 4878 5373 5420 5970 7164 7317 8130 8955 9756 10746 11940 12195 14634 16260 17910 21492 24390 26865 29268 35820 36585 48780 53730 53929 73170 107460 107858 146340 161787 215716 269645 323574 485361 539290 647148 808935 970722 1078580 1456083 1617870 1941444 2426805 2912166 3235740 4853610 5824332 7280415 9707220 14560830 29121660