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29293940 = 22513307367
BaseRepresentation
bin110111110111…
…1110101110100
32001010021201202
41233233311310
524444401230
62523512032
7503665034
oct157576564
961107652
1029293940
1115598a75
129988618
1360b87c0
143c678c4
152889a45
hex1befd74

29293940 has 48 divisors (see below), whose sum is σ = 66646272. Its totient is φ = 10751616.

The previous prime is 29293919. The next prime is 29293963. The reversal of 29293940 is 4939292.

It is a junction number, because it is equal to n+sod(n) for n = 29293894 and 29293903.

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, 79637 + ... + 80003.

It is an arithmetic number, because the mean of its divisors is an integer number (1388464).

Almost surely, 229293940 is an apocalyptic number.

29293940 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 29293940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323136).

29293940 is an abundant number, since it is smaller than the sum of its proper divisors (37352332).

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

29293940 is a wasteful number, since it uses less digits than its factorization.

29293940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 29293940 is about 5412.3876431756. The cubic root of 29293940 is about 308.2662144303.

The spelling of 29293940 in words is "twenty-nine million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 367 614 734 1228 1468 1535 1835 3070 3670 3991 4771 6140 7340 7982 9542 15964 19084 19955 23855 39910 47710 79820 95420 112669 225338 450676 563345 1126690 1464697 2253380 2929394 5858788 7323485 14646970 29293940