Search a number
-
+
1098200376 = 233371355871
BaseRepresentation
bin100000101110101…
…0011010100111000
32211112110100201000
41001131103110320
54222114403001
6300550125000
736133356240
oct10135232470
92745410630
101098200376
115139a6219
12267950760
131466a0810
14a5bd0b20
156662ca86
hex41753538

1098200376 has 128 divisors (see below), whose sum is σ = 3754598400. Its totient is φ = 289630080.

The previous prime is 1098200359. The next prime is 1098200377. The reversal of 1098200376 is 6730028901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1098200376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098200377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8280 + ... + 47591.

It is an arithmetic number, because the mean of its divisors is an integer number (29332800).

Almost surely, 21098200376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098200376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877299200).

1098200376 is an abundant number, since it is smaller than the sum of its proper divisors (2656398024).

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

1098200376 is a wasteful number, since it uses less digits than its factorization.

1098200376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55906 (or 55896 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1098200376 is about 33139.1064454068. The cubic root of 1098200376 is about 1031.7168639169.

The spelling of 1098200376 in words is "one billion, ninety-eight million, two hundred thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 55871 111742 167613 223484 335226 391097 446968 502839 670452 726323 782194 1005678 1173291 1340904 1452646 1508517 1564388 2011356 2178969 2346582 2905292 3017034 3128776 3519873 4022712 4357938 4693164 5084261 5810584 6034068 6536907 7039746 8715876 9386328 10168522 10559619 12068136 13073814 14079492 15252783 17431752 19610721 20337044 21119238 26147628 28158984 30505566 39221442 40674088 42238476 45758349 52295256 61011132 78442884 84476952 91516698 122022264 137275047 156885768 183033396 274550094 366066792 549100188 1098200376