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100411340 = 22529374679
BaseRepresentation
bin1011111110000…
…10011111001100
320222221102110112
411333002133030
5201201130330
613544055152
72326324301
oct577023714
9228842415
10100411340
1151752587
12297644b8
1317a58ac3
14d49b0a8
158c36795
hex5fc27cc

100411340 has 48 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 37723392.

The previous prime is 100411327. The next prime is 100411343. The reversal of 100411340 is 43114001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100411343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19121 + ... + 23799.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2100411340 is an apocalyptic number.

100411340 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 100411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

100411340 is an abundant number, since it is smaller than the sum of its proper divisors (123667060).

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

100411340 is a wasteful number, since it uses less digits than its factorization.

100411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100411340 is about 10020.5458933134. The cubic root of 100411340 is about 464.7944364451.

Adding to 100411340 its reverse (43114001), we get a palindrome (143525341).

The spelling of 100411340 in words is "one hundred million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 4679 5365 9358 10730 18716 21460 23395 46790 93580 135691 173123 271382 346246 542764 678455 692492 865615 1356910 1731230 2713820 3462460 5020567 10041134 20082268 25102835 50205670 100411340