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100004240 = 2457434153
BaseRepresentation
bin1011111010111…
…11000110010000
320222011202000202
411331133012100
5201100113430
613531234332
72323010360
oct575370620
9228152022
10100004240
11514a4736
12295a89a8
131794570b
14d3d29a0
158ba5d45
hex5f5f190

100004240 has 80 divisors (see below), whose sum is σ = 271970688. Its totient is φ = 33481728.

The previous prime is 100004189. The next prime is 100004243. The reversal of 100004240 is 42400001.

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

It is not an unprimeable number, because it can be changed into a prime (100004243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22004 + ... + 26156.

Almost surely, 2100004240 is an apocalyptic number.

100004240 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 100004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135985344).

100004240 is an abundant number, since it is smaller than the sum of its proper divisors (171966448).

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

100004240 is a wasteful number, since it uses less digits than its factorization.

100004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 100004240 is about 10000.2119977528. The cubic root of 100004240 is about 464.1654433808.

Adding to 100004240 its reverse (42400001), we get a palindrome (142404241).

The spelling of 100004240 in words is "one hundred million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4153 4816 6020 8306 12040 16612 20765 24080 29071 33224 41530 58142 66448 83060 116284 145355 166120 178579 232568 290710 332240 357158 465136 581420 714316 892895 1162840 1250053 1428632 1785790 2325680 2500106 2857264 3571580 5000212 6250265 7143160 10000424 12500530 14286320 20000848 25001060 50002120 100004240