Search a number
-
+
100020760 = 2357251031
BaseRepresentation
bin1011111011000…
…11001000011000
320222012120200121
411331203020120
5201101131020
613531443024
72323106500
oct575431030
9228176617
10100020760
1151506094
12295b6474
13179500a8
14d3d8a00
158baabaa
hex5f63218

100020760 has 48 divisors (see below), whose sum is σ = 261794160. Its totient is φ = 34292160.

The previous prime is 100020743. The next prime is 100020761. The reversal of 100020760 is 67020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23556 + ... + 27475.

It is an arithmetic number, because the mean of its divisors is an integer number (5454045).

Almost surely, 2100020760 is an apocalyptic number.

100020760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020760 is an abundant number, since it is smaller than the sum of its proper divisors (161773400).

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

100020760 is a wasteful number, since it uses less digits than its factorization.

100020760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51056 (or 51045 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 100020760 is about 10001.0379461334. The cubic root of 100020760 is about 464.1910009336.

Adding to 100020760 its reverse (67020001), we get a palindrome (167040761).

The spelling of 100020760 in words is "one hundred million, twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 51031 102062 204124 255155 357217 408248 510310 714434 1020620 1428868 1786085 2041240 2500519 2857736 3572170 5001038 7144340 10002076 12502595 14288680 20004152 25005190 50010380 100020760