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100342520 = 23537151449
BaseRepresentation
bin1011111101100…
…01101011111000
320222210221001122
411332301223320
5201141430040
613542404412
72325616535
oct576615370
9228727048
10100342520
1151705903
1229730708
1317a33695
14d47dd8c
158c211b5
hex5fb1af8

100342520 has 64 divisors (see below), whose sum is σ = 233928000. Its totient is φ = 38707200.

The previous prime is 100342513. The next prime is 100342547. The reversal of 100342520 is 25243001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 223256 + ... + 223704.

It is an arithmetic number, because the mean of its divisors is an integer number (3655125).

Almost surely, 2100342520 is an apocalyptic number.

100342520 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 100342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116964000).

100342520 is an abundant number, since it is smaller than the sum of its proper divisors (133585480).

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

100342520 is a wasteful number, since it uses less digits than its factorization.

100342520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 100342520 is about 10017.1113600678. Note that the first 3 decimals coincide. The cubic root of 100342520 is about 464.6882251225.

Adding to 100342520 its reverse (25243001), we get a palindrome (125585521).

The spelling of 100342520 in words is "one hundred million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 151 185 296 302 370 449 604 740 755 898 1208 1480 1510 1796 2245 3020 3592 4490 5587 6040 8980 11174 16613 17960 22348 27935 33226 44696 55870 66452 67799 83065 111740 132904 135598 166130 223480 271196 332260 338995 542392 664520 677990 1355980 2508563 2711960 5017126 10034252 12542815 20068504 25085630 50171260 100342520