Search a number
-
+
100198830 = 23547179397
BaseRepresentation
bin1011111100011…
…10100110101110
320222112121221210
411332032212232
5201122330310
613535335250
72324450604
oct576164656
9228477853
10100198830
1151617956
1229681526
13179b3164
14d443874
158be3820
hex5f8e9ae

100198830 has 64 divisors (see below), whose sum is σ = 247587840. Its totient is φ = 25939584.

The previous prime is 100198829. The next prime is 100198843. The reversal of 100198830 is 38891001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252192 + ... + 252588.

It is an arithmetic number, because the mean of its divisors is an integer number (3868560).

Almost surely, 2100198830 is an apocalyptic number.

100198830 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 100198830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123793920).

100198830 is an abundant number, since it is smaller than the sum of its proper divisors (147389010).

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

100198830 is a wasteful number, since it uses less digits than its factorization.

100198830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 100198830 is about 10009.9365632356. The cubic root of 100198830 is about 464.4663087359.

The spelling of 100198830 in words is "one hundred million, one hundred ninety-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 179 235 282 358 397 470 537 705 794 895 1074 1191 1410 1790 1985 2382 2685 3970 5370 5955 8413 11910 16826 18659 25239 37318 42065 50478 55977 71063 84130 93295 111954 126195 142126 186590 213189 252390 279885 355315 426378 559770 710630 1065945 2131890 3339961 6679922 10019883 16699805 20039766 33399610 50099415 100198830