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100013540 = 225111632789
BaseRepresentation
bin1011111011000…
…01010111100100
320222012012210012
411331201113210
5201100413130
613531345352
72323046444
oct575412744
9228165705
10100013540
1151500720
12295b2258
1317949a13
14d3d6124
158ba8995
hex5f615e4

100013540 has 48 divisors (see below), whose sum is σ = 230610240. Its totient is φ = 36132480.

The previous prime is 100013531. The next prime is 100013561. The reversal of 100013540 is 45310001.

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, 34466 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2100013540 is an apocalyptic number.

100013540 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 100013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305120).

100013540 is an abundant number, since it is smaller than the sum of its proper divisors (130596700).

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

100013540 is a wasteful number, since it uses less digits than its factorization.

100013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 100013540 is about 10000.6769770851. The cubic root of 100013540 is about 464.1798314535.

Adding to 100013540 its reverse (45310001), we get a palindrome (145323541).

The spelling of 100013540 in words is "one hundred million, thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 2789 3260 3586 5578 7172 8965 11156 13945 17930 27890 30679 35860 55780 61358 122716 153395 306790 454607 613580 909214 1818428 2273035 4546070 5000677 9092140 10001354 20002708 25003385 50006770 100013540