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29125740 = 22357312237
BaseRepresentation
bin110111100011…
…0110001101100
32000210202000010
41233012301230
524424010430
62520133220
7502364460
oct157066154
960722003
1029125740
1115493666
129907210
13605a087
143c224a0
152854cb0
hex1bc6c6c

29125740 has 96 divisors (see below), whose sum is σ = 96251904. Its totient is φ = 6439680.

The previous prime is 29125739. The next prime is 29125741. The reversal of 29125740 is 4752192.

It is an interprime number because it is at equal distance from previous prime (29125739) and next prime (29125741).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29125698 and 29125707.

It is not an unprimeable number, because it can be changed into a prime (29125741) 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, 11902 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (1002624).

Almost surely, 229125740 is an apocalyptic number.

29125740 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 29125740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48125952).

29125740 is an abundant number, since it is smaller than the sum of its proper divisors (67126164).

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

29125740 is a wasteful number, since it uses less digits than its factorization.

29125740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 29125740 is about 5396.8268454713. The cubic root of 29125740 is about 307.6750804137.

The spelling of 29125740 in words is "twenty-nine million, one hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2237 2604 3255 4340 4474 6510 6711 8948 11185 13020 13422 15659 22370 26844 31318 33555 44740 46977 62636 67110 69347 78295 93954 134220 138694 156590 187908 208041 234885 277388 313180 346735 416082 469770 485429 693470 832164 939540 970858 1040205 1386940 1456287 1941716 2080410 2427145 2912574 4160820 4854290 5825148 7281435 9708580 14562870 29125740