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29316420 = 22325753439
BaseRepresentation
bin110111111010…
…1010101000100
32001011102120100
41233311111010
530001111140
62524204100
7504120420
oct157652504
961142510
1029316420
1115603951
129999630
1360c5ac3
143c71b80
152891530
hex1bf5544

29316420 has 144 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 6559488.

The previous prime is 29316401. The next prime is 29316433. The reversal of 29316420 is 2461392.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66561 + ... + 66999.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 229316420 is an apocalyptic number.

29316420 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 29316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

29316420 is an abundant number, since it is smaller than the sum of its proper divisors (74467260).

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

29316420 is a wasteful number, since it uses less digits than its factorization.

29316420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29316420 is about 5414.4639623882. The cubic root of 29316420 is about 308.3450481711.

The spelling of 29316420 in words is "twenty-nine million, three hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 439 477 530 630 636 742 795 878 954 1060 1113 1260 1317 1484 1590 1756 1855 1908 2195 2226 2385 2634 3073 3180 3339 3710 3951 4390 4452 4770 5268 5565 6146 6585 6678 7420 7902 8780 9219 9540 11130 12292 13170 13356 15365 15804 16695 18438 19755 22260 23267 26340 27657 30730 33390 36876 39510 46095 46534 55314 61460 66780 69801 79020 92190 93068 110628 116335 138285 139602 162869 184380 209403 232670 276570 279204 325738 349005 418806 465340 488607 553140 651476 698010 814345 837612 977214 1047015 1396020 1465821 1628690 1954428 2094030 2443035 2931642 3257380 4188060 4886070 5863284 7329105 9772140 14658210 29316420