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29300480 = 285112081
BaseRepresentation
bin110111111000…
…1011100000000
32001010121200222
41233301130000
530000103410
62524002212
7504023066
oct157613400
961117628
1029300480
11155a2980
129990368
1360bb781
143c6a036
15288b955
hex1bf1700

29300480 has 72 divisors (see below), whose sum is σ = 76600944. Its totient is φ = 10649600.

The previous prime is 29300471. The next prime is 29300483. The reversal of 29300480 is 8400392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29300483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13040 + ... + 15120.

It is an arithmetic number, because the mean of its divisors is an integer number (1063902).

Almost surely, 229300480 is an apocalyptic number.

29300480 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 29300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38300472).

29300480 is an abundant number, since it is smaller than the sum of its proper divisors (47300464).

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

29300480 is a wasteful number, since it uses less digits than its factorization.

29300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 29300480 is about 5412.9917790442. The cubic root of 29300480 is about 308.2891533160.

The spelling of 29300480 in words is "twenty-nine million, three hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2081 2816 3520 4162 7040 8324 10405 14080 16648 20810 22891 33296 41620 45782 66592 83240 91564 114455 133184 166480 183128 228910 266368 332960 366256 457820 532736 665920 732512 915640 1331840 1465024 1831280 2663680 2930048 3662560 5860096 7325120 14650240 29300480