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29914260 = 22352353409
BaseRepresentation
bin111001000011…
…1010010010100
32002021210122120
41302013102110
530124224020
62545055540
7512160405
oct162072224
962253576
1029914260
1115982032
12a0275b0
136274c5c
143d899ac
15295d740
hex1c87494

29914260 has 96 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 7468032.

The previous prime is 29914259. The next prime is 29914273. The reversal of 29914260 is 6241992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72936 + ... + 73344.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 229914260 is an apocalyptic number.

29914260 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 29914260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

29914260 is an abundant number, since it is smaller than the sum of its proper divisors (59354220).

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

29914260 is a wasteful number, since it uses less digits than its factorization.

29914260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29914260 is about 5469.3930193395. The cubic root of 29914260 is about 310.4269524591.

The spelling of 29914260 in words is "twenty-nine million, nine hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 409 460 530 636 690 795 818 1060 1219 1227 1380 1590 1636 2045 2438 2454 3180 3657 4090 4876 4908 6095 6135 7314 8180 9407 12190 12270 14628 18285 18814 21677 24380 24540 28221 36570 37628 43354 47035 56442 65031 73140 86708 94070 108385 112884 130062 141105 188140 216770 260124 282210 325155 433540 498571 564420 650310 997142 1300620 1495713 1994284 2492855 2991426 4985710 5982852 7478565 9971420 14957130 29914260