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29074240 = 2651329241
BaseRepresentation
bin110111011101…
…0001101000000
32000201010100201
41232322031000
524420333430
62515054544
7502061356
oct156721500
960633321
1029074240
11154589a8
1298a1454
13603c7c0
143c0b7d6
1528448ca
hex1bba340

29074240 has 112 divisors (see below), whose sum is σ = 77449680. Its totient is φ = 10321920.

The previous prime is 29074223. The next prime is 29074259. The reversal of 29074240 is 4247092.

It can be written as a sum of positive squares in 8 ways, for example, as 430336 + 28643904 = 656^2 + 5352^2 .

It is a super-2 number, since 2×290742402 = 1690622863155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29074199 and 29074208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120520 + ... + 120760.

It is an arithmetic number, because the mean of its divisors is an integer number (691515).

Almost surely, 229074240 is an apocalyptic number.

29074240 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 29074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724840).

29074240 is an abundant number, since it is smaller than the sum of its proper divisors (48375440).

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

29074240 is a wasteful number, since it uses less digits than its factorization.

29074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 29074240 is about 5392.0534121984. The cubic root of 29074240 is about 307.4936302027.

It can be divided in two parts, 290 and 74240, that multiplied together give a square (21529600 = 46402).

The spelling of 29074240 in words is "twenty-nine million, seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 130 145 160 208 232 241 260 290 320 377 416 464 482 520 580 754 832 928 964 1040 1160 1205 1508 1856 1885 1928 2080 2320 2410 3016 3133 3770 3856 4160 4640 4820 6032 6266 6989 7540 7712 9280 9640 12064 12532 13978 15080 15424 15665 19280 24128 25064 27956 30160 31330 34945 38560 50128 55912 60320 62660 69890 77120 90857 100256 111824 120640 125320 139780 181714 200512 223648 250640 279560 363428 447296 454285 501280 559120 726856 908570 1002560 1118240 1453712 1817140 2236480 2907424 3634280 5814848 7268560 14537120 29074240