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18953130 = 2357175309
BaseRepresentation
bin100100001001…
…1001110101010
31022122220210210
41020103032222
514323000010
61514121550
7320045640
oct110231652
938586723
1018953130
11a775849
1264202b6
133c07a91
142735190
1519e5b20
hex12133aa

18953130 has 64 divisors (see below), whose sum is σ = 55054080. Its totient is φ = 4076544.

The previous prime is 18953119. The next prime is 18953131. The reversal of 18953130 is 3135981.

It is a happy number.

It is a super-2 number, since 2×189531302 = 718442273593800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18953131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (860220).

Almost surely, 218953130 is an apocalyptic number.

18953130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18953130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527040).

18953130 is an abundant number, since it is smaller than the sum of its proper divisors (36100950).

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

18953130 is a wasteful number, since it uses less digits than its factorization.

18953130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 18953130 is about 4353.5192660651. The cubic root of 18953130 is about 266.6205666837.

The spelling of 18953130 in words is "eighteen million, nine hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 5309 10618 15927 26545 31854 37163 53090 74326 79635 90253 111489 159270 180506 185815 222978 270759 371630 451265 541518 557445 631771 902530 1114890 1263542 1353795 1895313 2707590 3158855 3790626 6317710 9476565 18953130