Search a number
-
+
100857380 = 22513387913
BaseRepresentation
bin1100000001011…
…11011000100100
321000210002022112
412000233120210
5201304414010
614001420152
72333162561
oct600573044
9230702275
10100857380
1151a27708
122993a658
1317b83b30
14d575868
158cc3a05
hex602f624

100857380 has 24 divisors (see below), whose sum is σ = 228093432. Its totient is φ = 37239552.

The previous prime is 100857349. The next prime is 100857397. The reversal of 100857380 is 83758001.

It can be written as a sum of positive squares in 4 ways, for example, as 2292196 + 98565184 = 1514^2 + 9928^2 .

It is a super-2 number, since 2×1008573802 = 20344422200928800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193697 + ... + 194216.

It is an arithmetic number, because the mean of its divisors is an integer number (9503893).

Almost surely, 2100857380 is an apocalyptic number.

100857380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100857380 is an abundant number, since it is smaller than the sum of its proper divisors (127236052).

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

100857380 is a wasteful number, since it uses less digits than its factorization.

100857380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387935 (or 387933 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 100857380 is about 10042.7775042565. Note that the first 3 decimals coincide. The cubic root of 100857380 is about 465.4816453125.

The spelling of 100857380 in words is "one hundred million, eight hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 387913 775826 1551652 1939565 3879130 5042869 7758260 10085738 20171476 25214345 50428690 100857380