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100424440 = 23517236421
BaseRepresentation
bin1011111110001…
…01101011111000
320222222002102201
411333011223320
5201202040230
613544235544
72326410424
oct577055370
9228862381
10100424440
1151761406
122976bbb4
1317a61a5c
14d4a1b84
158c3a5ca
hex5fc5af8

100424440 has 64 divisors (see below), whose sum is σ = 249687360. Its totient is φ = 36157440.

The previous prime is 100424437. The next prime is 100424501. The reversal of 100424440 is 44424001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12430 + ... + 18850.

It is an arithmetic number, because the mean of its divisors is an integer number (3901365).

Almost surely, 2100424440 is an apocalyptic number.

100424440 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 100424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843680).

100424440 is an abundant number, since it is smaller than the sum of its proper divisors (149262920).

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

100424440 is a wasteful number, since it uses less digits than its factorization.

100424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 100424440 is about 10021.1995289985. The cubic root of 100424440 is about 464.8146484462.

Adding to 100424440 its reverse (44424001), we get a palindrome (144848441).

The spelling of 100424440 in words is "one hundred million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 6421 7820 12842 15640 25684 32105 51368 64210 109157 128420 147683 218314 256840 295366 436628 545785 590732 738415 873256 1091570 1181464 1476830 2183140 2510611 2953660 4366280 5021222 5907320 10042444 12553055 20084888 25106110 50212220 100424440