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29296380 = 223529113149
BaseRepresentation
bin110111111000…
…0011011111100
32001010102002010
41233300123330
524444441010
62523531220
7504005121
oct157603374
961112063
1029296380
111559a893
129989b10
1360b9949
143c68748
15288a620
hex1bf06fc

29296380 has 96 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 7426048.

The previous prime is 29296367. The next prime is 29296387. The reversal of 29296380 is 8369292.

It is a super-3 number, since 3×292963803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29296387) 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, 196546 + ... + 196694.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 229296380 is an apocalyptic number.

29296380 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 29296380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

29296380 is an abundant number, since it is smaller than the sum of its proper divisors (56887620).

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

29296380 is a wasteful number, since it uses less digits than its factorization.

29296380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 29296380 is about 5412.6130473183. The cubic root of 29296380 is about 308.2747730682.

The spelling of 29296380 in words is "twenty-nine million, two hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 113 116 145 149 174 226 290 298 339 348 435 447 452 565 580 596 678 745 870 894 1130 1356 1490 1695 1740 1788 2235 2260 2980 3277 3390 4321 4470 6554 6780 8642 8940 9831 12963 13108 16385 16837 17284 19662 21605 25926 32770 33674 39324 43210 49155 50511 51852 64815 65540 67348 84185 86420 98310 101022 129630 168370 196620 202044 252555 259260 336740 488273 505110 976546 1010220 1464819 1953092 2441365 2929638 4882730 5859276 7324095 9765460 14648190 29296380