Search a number
-
+
100767340 = 22541122887
BaseRepresentation
bin1100000000110…
…01011001101100
321000121111210201
412000121121230
5201244023330
613555443244
72332336222
oct600313154
9230544721
10100767340
1151975aa3
12298b6524
1317b51b5b
14d550b12
158ca6eca
hex601966c

100767340 has 24 divisors (see below), whose sum is σ = 216774432. Its totient is φ = 39323520.

The previous prime is 100767319. The next prime is 100767341. The reversal of 100767340 is 43767001.

It is a junction number, because it is equal to n+sod(n) for n = 100767299 and 100767308.

It is not an unprimeable number, because it can be changed into a prime (100767341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60624 + ... + 62263.

It is an arithmetic number, because the mean of its divisors is an integer number (9032268).

Almost surely, 2100767340 is an apocalyptic number.

100767340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100767340 is an abundant number, since it is smaller than the sum of its proper divisors (116007092).

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

100767340 is a wasteful number, since it uses less digits than its factorization.

100767340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122937 (or 122935 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 100767340 is about 10038.2936797047. The cubic root of 100767340 is about 465.3430851471.

The spelling of 100767340 in words is "one hundred million, seven hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 122887 245774 491548 614435 1228870 2457740 5038367 10076734 20153468 25191835 50383670 100767340