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29038320 = 24325311301
BaseRepresentation
bin110111011000…
…1011011110000
32000122022002100
41232301123300
524413211240
62514220400
7501551553
oct156613360
960568070
1029038320
1115433a13
129884700
13602934c
143bdc69a
152838e30
hex1bb16f0

29038320 has 120 divisors (see below), whose sum is σ = 100743552. Its totient is φ = 7488000.

The previous prime is 29038313. The next prime is 29038333. The reversal of 29038320 is 2383092.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21670 + ... + 22970.

Almost surely, 229038320 is an apocalyptic number.

29038320 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 29038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

29038320 is an abundant number, since it is smaller than the sum of its proper divisors (71705232).

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

29038320 is a wasteful number, since it uses less digits than its factorization.

29038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

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

The square root of 29038320 is about 5388.7215552485. The cubic root of 29038320 is about 307.3669462042.

The spelling of 29038320 in words is "twenty-nine million, thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1301 1395 1488 1860 2232 2480 2602 2790 3720 3903 4464 5204 5580 6505 7440 7806 10408 11160 11709 13010 15612 19515 20816 22320 23418 26020 31224 39030 40331 46836 52040 58545 62448 78060 80662 93672 104080 117090 120993 156120 161324 187344 201655 234180 241986 312240 322648 362979 403310 468360 483972 604965 645296 725958 806620 936720 967944 1209930 1451916 1613240 1814895 1935888 2419860 2903832 3226480 3629790 4839720 5807664 7259580 9679440 14519160 29038320