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29958030 = 23251272621
BaseRepresentation
bin111001001000…
…1111110001110
32002101000200200
41302101332032
530132124110
62550034330
7512432124
oct162217616
962330620
1029958030
1115a01a03
12a0489a6
13628bb5b
143d9b914
15296b6c0
hex1c91f8e

29958030 has 48 divisors (see below), whose sum is σ = 78534144. Its totient is φ = 7922880.

The previous prime is 29958011. The next prime is 29958031. The reversal of 29958030 is 3085992.

It is a super-2 number, since 2×299580302 = 1794967122961800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29958031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10120 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (1636128).

Almost surely, 229958030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29958030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267072).

29958030 is an abundant number, since it is smaller than the sum of its proper divisors (48576114).

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

29958030 is a wasteful number, since it uses less digits than its factorization.

29958030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29958030 is about 5473.3929148198. The cubic root of 29958030 is about 310.5782823616.

It can be divided in two parts, 2995 and 8030, that added together give a square (11025 = 1052).

The spelling of 29958030 in words is "twenty-nine million, nine hundred fifty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 2621 3810 5242 5715 7863 11430 13105 15726 23589 26210 39315 47178 78630 117945 235890 332867 665734 998601 1664335 1997202 2995803 3328670 4993005 5991606 9986010 14979015 29958030