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100004080 = 24511210331
BaseRepresentation
bin1011111010111…
…11000011110000
320222011201210211
411331133003300
5201100112310
613531233504
72323010041
oct575370360
9228151724
10100004080
11514a4600
12295a8894
1317945617
14d3d28c8
158ba5c8a
hex5f5f0f0

100004080 has 60 divisors (see below), whose sum is σ = 255593016. Its totient is φ = 36361600.

The previous prime is 100004059. The next prime is 100004089. The reversal of 100004080 is 80400001.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 100004080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4515 + ... + 14845.

Almost surely, 2100004080 is an apocalyptic number.

100004080 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 100004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127796508).

100004080 is an abundant number, since it is smaller than the sum of its proper divisors (155588936).

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

100004080 is a wasteful number, since it uses less digits than its factorization.

100004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 100004080 is about 10000.2039979192. The cubic root of 100004080 is about 464.1651958362.

Adding to 100004080 its reverse (80400001), we get a palindrome (180404081).

The spelling of 100004080 in words is "one hundred million, four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 10331 20662 41324 51655 82648 103310 113641 165296 206620 227282 413240 454564 568205 826480 909128 1136410 1250051 1818256 2272820 2500102 4545640 5000204 6250255 9091280 10000408 12500510 20000816 25001020 50002040 100004080