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100411040 = 255718839
BaseRepresentation
bin1011111110000…
…10011010100000
320222221102001102
411333002122200
5201201123130
613544053532
72326323362
oct577023240
9228842042
10100411040
1151752334
12297642a8
1317a58922
14d49ad32
158c36645
hex5fc26a0

100411040 has 48 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 39594240.

The previous prime is 100411039. The next prime is 100411049. The reversal of 100411040 is 40114001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6941 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2100411040 is an apocalyptic number.

100411040 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 100411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

100411040 is an abundant number, since it is smaller than the sum of its proper divisors (140178400).

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

100411040 is an equidigital number, since it uses as much as digits as its factorization.

100411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100411040 is about 10020.5309240579. The cubic root of 100411040 is about 464.7939735543.

Adding to 100411040 its reverse (40114001), we get a palindrome (140525041).

The spelling of 100411040 in words is "one hundred million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 8839 11360 17678 35356 44195 70712 88390 141424 176780 282848 353560 627569 707120 1255138 1414240 2510276 3137845 5020552 6275690 10041104 12551380 20082208 25102760 50205520 100411040