Search a number
-
+
100026480 = 2435431967
BaseRepresentation
bin1011111011001…
…00100001110000
320222012212112110
411331210201300
5201101321410
613531525320
72323132251
oct575444160
9228185473
10100026480
115150a414
12295b9840
1317952888
14d3dab28
158bac720
hex5f64870

100026480 has 80 divisors (see below), whose sum is σ = 311122944. Its totient is φ = 26584320.

The previous prime is 100026473. The next prime is 100026499. The reversal of 100026480 is 84620001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102957 + ... + 103923.

Almost surely, 2100026480 is an apocalyptic number.

100026480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

100026480 is an abundant number, since it is smaller than the sum of its proper divisors (211096464).

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

100026480 is a wasteful number, since it uses less digits than its factorization.

100026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100026480 is about 10001.3239123628. The cubic root of 100026480 is about 464.1998495030.

Adding to 100026480 its reverse (84620001), we get a palindrome (184646481).

The spelling of 100026480 in words is "one hundred million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 967 1293 1724 1934 2155 2586 2901 3448 3868 4310 4835 5172 5802 6465 6896 7736 8620 9670 10344 11604 12930 14505 15472 17240 19340 20688 23208 25860 29010 34480 38680 46416 51720 58020 77360 103440 116040 232080 416777 833554 1250331 1667108 2083885 2500662 3334216 4167770 5001324 6251655 6668432 8335540 10002648 12503310 16671080 20005296 25006620 33342160 50013240 100026480