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100003040 = 2553591741
BaseRepresentation
bin1011111010111…
…10110011100000
320222011200101022
411331132303200
5201100044130
613531225012
72323004024
oct575366340
9228150338
10100003040
11514a3845
12295a8168
1317944cc7
14d3d2384
158ba57e5
hex5f5ece0

100003040 has 48 divisors (see below), whose sum is σ = 237051360. Its totient is φ = 39866880.

The previous prime is 100003037. The next prime is 100003063. The reversal of 100003040 is 40300001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56570 + ... + 58310.

It is an arithmetic number, because the mean of its divisors is an integer number (4938570).

Almost surely, 2100003040 is an apocalyptic number.

100003040 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 100003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118525680).

100003040 is an abundant number, since it is smaller than the sum of its proper divisors (137048320).

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

100003040 is a wasteful number, since it uses less digits than its factorization.

100003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100003040 is about 10000.1519988448. The cubic root of 100003040 is about 464.1635867903.

Adding to 100003040 its reverse (40300001), we get a palindrome (140303041).

The spelling of 100003040 in words is "one hundred million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1741 1795 2872 3482 3590 5744 6964 7180 8705 11488 13928 14360 17410 27856 28720 34820 55712 57440 69640 139280 278560 625019 1250038 2500076 3125095 5000152 6250190 10000304 12500380 20000608 25000760 50001520 100003040