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29694980 = 22572157193
BaseRepresentation
bin111000101000…
…1110000000100
32001212122212002
41301101300010
530100214410
62540244432
7510255200
oct161216004
961778762
1029694980
1115842307
129b40718
1361c91c3
143d2db00
1529187a5
hex1c51c04

29694980 has 72 divisors (see below), whose sum is σ = 73380888. Its totient is φ = 10063872.

The previous prime is 29694953. The next prime is 29694997. The reversal of 29694980 is 8949692.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 29506624 = 434^2 + 5432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153764 + ... + 153956.

It is an arithmetic number, because the mean of its divisors is an integer number (1019179).

Almost surely, 229694980 is an apocalyptic number.

29694980 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 29694980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36690444).

29694980 is an abundant number, since it is smaller than the sum of its proper divisors (43685908).

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

29694980 is a wasteful number, since it uses less digits than its factorization.

29694980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 29694980 is about 5449.3100480703. The cubic root of 29694980 is about 309.6665856868. Note that the first 3 decimals are identical.

The spelling of 29694980 in words is "twenty-nine million, six hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 157 193 196 245 314 386 490 628 772 785 965 980 1099 1351 1570 1930 2198 2702 3140 3860 4396 5404 5495 6755 7693 9457 10990 13510 15386 18914 21980 27020 30301 30772 37828 38465 47285 60602 76930 94570 121204 151505 153860 189140 212107 303010 424214 606020 848428 1060535 1484749 2121070 2969498 4242140 5938996 7423745 14847490 29694980