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29620320 = 2535232683
BaseRepresentation
bin111000011111…
…1100001100000
32001201212102220
41300333201200
530040322240
62534511040
7506524422
oct160774140
961655386
1029620320
11157a1204
129b05480
1361a1222
143d10812
1529015d0
hex1c3f860

29620320 has 96 divisors (see below), whose sum is σ = 97396992. Its totient is φ = 7552512.

The previous prime is 29620271. The next prime is 29620321. The reversal of 29620320 is 2302692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29620321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9699 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (1014552).

Almost surely, 229620320 is an apocalyptic number.

29620320 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 29620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48698496).

29620320 is an abundant number, since it is smaller than the sum of its proper divisors (67776672).

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

29620320 is a wasteful number, since it uses less digits than its factorization.

29620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 29620320 is about 5442.4553282503. The cubic root of 29620320 is about 309.4068435746.

The spelling of 29620320 in words is "twenty-nine million, six hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2683 2760 3680 5366 5520 8049 10732 11040 13415 16098 21464 26830 32196 40245 42928 53660 61709 64392 80490 85856 107320 123418 128784 160980 185127 214640 246836 257568 308545 321960 370254 429280 493672 617090 643920 740508 925635 987344 1234180 1287840 1481016 1851270 1974688 2468360 2962032 3702540 4936720 5924064 7405080 9873440 14810160 29620320