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30996600 = 23352192719
BaseRepresentation
bin111011000111…
…1100001111000
32011022210100020
41312033201320
530413342400
63024210440
7524316045
oct166174170
964283306
1030996600
1116551228
12a469a20
1365637ab
14418c1cc
152ac42a0
hex1d8f878

30996600 has 96 divisors (see below), whose sum is σ = 101184000. Its totient is φ = 7827840.

The previous prime is 30996587. The next prime is 30996607. The reversal of 30996600 is 669903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30996607) 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, 10041 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (1054000).

Almost surely, 230996600 is an apocalyptic number.

30996600 is a gapful number since it is divisible by the number (30) 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 30996600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592000).

30996600 is an abundant number, since it is smaller than the sum of its proper divisors (70187400).

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

30996600 is a wasteful number, since it uses less digits than its factorization.

30996600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 30996600 is about 5567.4590254442. The cubic root of 30996600 is about 314.1265802018.

The spelling of 30996600 in words is "thirty million, nine hundred ninety-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2719 2850 3800 5438 5700 8157 10876 11400 13595 16314 21752 27190 32628 40785 51661 54380 65256 67975 81570 103322 108760 135950 154983 163140 203925 206644 258305 271900 309966 326280 407850 413288 516610 543800 619932 774915 815700 1033220 1239864 1291525 1549830 1631400 2066440 2583050 3099660 3874575 5166100 6199320 7749150 10332200 15498300 30996600