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30106032 = 24311193001
BaseRepresentation
bin111001011011…
…0000110110000
32002122112201020
41302312012300
530201343112
62553135440
7513616455
oct162660660
962575636
1030106032
1115aa3120
12a0ba580
136311328
143dd982c
15299a48c
hex1cb61b0

30106032 has 80 divisors (see below), whose sum is σ = 89339520. Its totient is φ = 8640000.

The previous prime is 30105967. The next prime is 30106039. The reversal of 30106032 is 23060103.

It is not an unprimeable number, because it can be changed into a prime (30106039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8532 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (1116744).

Almost surely, 230106032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44669760).

30106032 is an abundant number, since it is smaller than the sum of its proper divisors (59233488).

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

30106032 is a wasteful number, since it uses less digits than its factorization.

30106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30106032 is about 5486.8963904925. The cubic root of 30106032 is about 311.0888935759.

Adding to 30106032 its reverse (23060103), we get a palindrome (53166135).

It can be divided in two parts, 3010603 and 2, that multiplied together give a palindrome (6021206).

The spelling of 30106032 in words is "thirty million, one hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3001 3344 5016 6002 9003 10032 12004 18006 24008 33011 36012 48016 57019 66022 72024 99033 114038 132044 144048 171057 198066 228076 264088 342114 396132 456152 528176 627209 684228 792264 912304 1254418 1368456 1584528 1881627 2508836 2736912 3763254 5017672 7526508 10035344 15053016 30106032