Search a number
-
+
100097270 = 25713293793
BaseRepresentation
bin1011111011101…
…01110011110110
320222100110122022
411331311303312
5201111103040
613533233142
72323545530
oct575656366
9228313568
10100097270
1151558619
12296327b2
1317978b70
14d418850
158bc36b5
hex5f75cf6

100097270 has 64 divisors (see below), whose sum is σ = 229461120. Its totient is φ = 30578688.

The previous prime is 100097267. The next prime is 100097273. The reversal of 100097270 is 72790001.

It is an interprime number because it is at equal distance from previous prime (100097267) and next prime (100097273).

It is a super-2 number, since 2×1000972702 = 20038926922905800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100097273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24494 + ... + 28286.

It is an arithmetic number, because the mean of its divisors is an integer number (3585330).

Almost surely, 2100097270 is an apocalyptic number.

100097270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100097270 is an abundant number, since it is smaller than the sum of its proper divisors (129363850).

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

100097270 is a wasteful number, since it uses less digits than its factorization.

100097270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 100097270 is about 10004.8623178932. The cubic root of 100097270 is about 464.3093303738.

The spelling of 100097270 in words is "one hundred million, ninety-seven thousand, two hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 29 35 58 65 70 91 130 145 182 203 290 377 406 455 754 910 1015 1885 2030 2639 3770 3793 5278 7586 13195 18965 26390 26551 37930 49309 53102 98618 109997 132755 219994 246545 265510 345163 493090 549985 690326 769979 1099970 1429961 1539958 1725815 2859922 3451630 3849895 7149805 7699790 10009727 14299610 20019454 50048635 100097270