Search a number
-
+
100542996 = 22322792861
BaseRepresentation
bin1011111111000…
…10101000010100
321000012010001200
411333202220110
5201214333441
613550552500
72330413161
oct577425024
9230163050
10100542996
1151832494
1229808730
1317aa39c8
14d4d3068
158c607b6
hex5fe2a14

100542996 has 18 divisors (see below), whose sum is σ = 254150442. Its totient is φ = 33514320.

The previous prime is 100542983. The next prime is 100543019. The reversal of 100542996 is 699245001.

100542996 is a `hidden beast` number, since 100 + 542 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84382596 + 16160400 = 9186^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2792861 = 100542996 / (1 + 0 + 0 + 5 + 4 + 2 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 100542996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1396395 + ... + 1396466.

It is an arithmetic number, because the mean of its divisors is an integer number (14119469).

Almost surely, 2100542996 is an apocalyptic number.

It is an amenable number.

100542996 is an abundant number, since it is smaller than the sum of its proper divisors (153607446).

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

100542996 is a wasteful number, since it uses less digits than its factorization.

100542996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792871 (or 2792866 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 100542996 is about 10027.1130441419. The cubic root of 100542996 is about 464.9974887135.

Adding to 100542996 its reverse (699245001), we get a palindrome (799787997).

The spelling of 100542996 in words is "one hundred million, five hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2792861 5585722 8378583 11171444 16757166 25135749 33514332 50271498 100542996