Search a number
-
+
100398088 = 23731151383
BaseRepresentation
bin1011111101111…
…11010000001000
320222220202021201
411332333100020
5201200214323
613543513544
72326240540
oct576772010
9228822251
10100398088
115174362a
12297588b4
1317a52a6b
14d496320
158c328ad
hex5fbf408

100398088 has 64 divisors (see below), whose sum is σ = 224133120. Its totient is φ = 41256000.

The previous prime is 100398061. The next prime is 100398091. The reversal of 100398088 is 880893001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261945 + ... + 262327.

It is an arithmetic number, because the mean of its divisors is an integer number (3502080).

Almost surely, 2100398088 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 100398088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112066560).

100398088 is an abundant number, since it is smaller than the sum of its proper divisors (123735032).

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

100398088 is a wasteful number, since it uses less digits than its factorization.

100398088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 100398088 is about 10019.8846300743. The cubic root of 100398088 is about 464.7739881343.

The spelling of 100398088 in words is "one hundred million, three hundred ninety-eight thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 383 434 604 766 868 1057 1208 1532 1736 2114 2681 3064 4228 4681 5362 8456 9362 10724 11873 18724 21448 23746 32767 37448 47492 57833 65534 83111 94984 115666 131068 166222 231332 262136 332444 404831 462664 664888 809662 1619324 1792823 3238648 3585646 7171292 12549761 14342584 25099522 50199044 100398088