Search a number
-
+
100098200 = 23521493359
BaseRepresentation
bin1011111011101…
…10000010011000
320222100111220202
411331312002120
5201111120300
613533241332
72323551326
oct575660230
9228314822
10100098200
1151559294
1229633248
1317979407
14d418d16
158bc3ad5
hex5f76098

100098200 has 48 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 39758720.

The previous prime is 100098197. The next prime is 100098221. The reversal of 100098200 is 2890001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28121 + ... + 31479.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2100098200 is an apocalyptic number.

100098200 is a gapful number since it is divisible by the number (10) 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 100098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180000).

100098200 is an abundant number, since it is smaller than the sum of its proper divisors (134261800).

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

100098200 is a wasteful number, since it uses less digits than its factorization.

100098200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100098200 is about 10004.9087951865. The cubic root of 100098200 is about 464.3107683296.

The spelling of 100098200 in words is "one hundred million, ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3359 3725 5960 6718 7450 13436 14900 16795 26872 29800 33590 67180 83975 134360 167950 335900 500491 671800 1000982 2001964 2502455 4003928 5004910 10009820 12512275 20019640 25024550 50049100 100098200