Search a number
-
+
100300140 = 22335281661
BaseRepresentation
bin1011111101001…
…11010101101100
320222201202221000
411332213111230
5201134101030
613541440300
72325352143
oct576472554
9228652830
10100300140
1151686a86
1229710090
1317a1a2c5
14d46c75a
158c13860
hex5fa756c

100300140 has 96 divisors (see below), whose sum is σ = 313629120. Its totient is φ = 26611200.

The previous prime is 100300127. The next prime is 100300163. The reversal of 100300140 is 41003001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 31 ways as a sum of consecutive naturals, for example, 151410 + ... + 152070.

It is an arithmetic number, because the mean of its divisors is an integer number (3266970).

Almost surely, 2100300140 is an apocalyptic number.

100300140 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 100300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156814560).

100300140 is an abundant number, since it is smaller than the sum of its proper divisors (213328980).

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

100300140 is a wasteful number, since it uses less digits than its factorization.

100300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100300140 is about 10014.9957563646. The cubic root of 100300140 is about 464.6227950331.

Adding to 100300140 its reverse (41003001), we get a palindrome (141303141).

The spelling of 100300140 in words is "one hundred million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 661 843 1124 1322 1405 1686 1983 2529 2644 2810 3305 3372 3966 4215 5058 5620 5949 6610 7587 7932 8430 9915 10116 11898 12645 13220 15174 16860 17847 19830 23796 25290 29745 30348 35694 37935 39660 50580 59490 71388 75870 89235 118980 151740 178470 185741 356940 371482 557223 742964 928705 1114446 1671669 1857410 2228892 2786115 3343338 3714820 5015007 5572230 6686676 8358345 10030014 11144460 16716690 20060028 25075035 33433380 50150070 100300140