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30106260 = 22325198803
BaseRepresentation
bin111001011011…
…0001010010100
32002122120000200
41302312022110
530201400020
62553140500
7513620232
oct162661224
962576020
1030106260
1115aa3308
12a0ba730
136311472
143dd9952
15299a590
hex1cb6294

30106260 has 72 divisors (see below), whose sum is σ = 96139680. Its totient is φ = 7604928.

The previous prime is 30106253. The next prime is 30106277. The reversal of 30106260 is 6260103.

It is a happy number.

30106260 is a `hidden beast` number, since 30 + 10 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 982 + ... + 7821.

Almost surely, 230106260 is an apocalyptic number.

30106260 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 30106260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48069840).

30106260 is an abundant number, since it is smaller than the sum of its proper divisors (66033420).

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

30106260 is a wasteful number, since it uses less digits than its factorization.

30106260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30106260 is about 5486.9171672261. The cubic root of 30106260 is about 311.0896788902.

Adding to 30106260 its reverse (6260103), we get a palindrome (36366363).

The spelling of 30106260 in words is "thirty million, one hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8803 17606 26409 35212 44015 52818 79227 88030 105636 132045 158454 167257 176060 264090 316908 334514 396135 501771 528180 669028 792270 836285 1003542 1505313 1584540 1672570 2007084 2508855 3010626 3345140 5017710 6021252 7526565 10035420 15053130 30106260