Search a number
-
+
100120440 = 23357119191
BaseRepresentation
bin1011111011110…
…11011101111000
320222101122102110
411331323131320
5201112323230
613533532320
72324003220
oct575733570
9228348373
10100120440
1151573a72
12296440a0
1317986584
14d423080
158bca4b0
hex5f7b778

100120440 has 64 divisors (see below), whose sum is σ = 343272960. Its totient is φ = 22884480.

The previous prime is 100120417. The next prime is 100120457. The reversal of 100120440 is 44021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58756 + ... + 60435.

It is an arithmetic number, because the mean of its divisors is an integer number (5363640).

Almost surely, 2100120440 is an apocalyptic number.

100120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120440 is an abundant number, since it is smaller than the sum of its proper divisors (243152520).

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

100120440 is a wasteful number, since it uses less digits than its factorization.

100120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119212 (or 119208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100120440 is about 10006.0201878669. The cubic root of 100120440 is about 464.3451529200.

Adding to 100120440 its reverse (44021001), we get a palindrome (144141441).

The spelling of 100120440 in words is "one hundred million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 119191 238382 357573 476764 595955 715146 834337 953528 1191910 1430292 1668674 1787865 2383820 2503011 2860584 3337348 3575730 4171685 4767640 5006022 6674696 7151460 8343370 10012044 12515055 14302920 16686740 20024088 25030110 33373480 50060220 100120440