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100520420 = 225711135021
BaseRepresentation
bin1011111110111…
…01000111100100
321000010222002112
411333131013210
5201213123140
613550300152
72330260310
oct577350744
9230128075
10100520420
1151817530
12297b7658
1317a96650
14d4c8b40
158c58c65
hex5fdd1e4

100520420 has 96 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 28915200.

The previous prime is 100520411. The next prime is 100520429. The reversal of 100520420 is 24025001.

It is an interprime number because it is at equal distance from previous prime (100520411) and next prime (100520429).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100520395 and 100520404.

It is not an unprimeable number, because it can be changed into a prime (100520429) by changing a digit.

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, 17510 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2100520420 is an apocalyptic number.

100520420 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 100520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

100520420 is an abundant number, since it is smaller than the sum of its proper divisors (182961436).

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

100520420 is a wasteful number, since it uses less digits than its factorization.

100520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 100520420 is about 10025.9872331856. The cubic root of 100520420 is about 464.9626824795.

Adding to 100520420 its reverse (24025001), we get a palindrome (124545421).

The spelling of 100520420 in words is "one hundred million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5021 10010 10042 20020 20084 25105 35147 50210 55231 65273 70294 100420 110462 130546 140588 175735 220924 261092 276155 326365 351470 386617 456911 552310 652730 702940 718003 773234 913822 1104620 1305460 1436006 1546468 1827644 1933085 2284555 2872012 3590015 3866170 4569110 5026021 7180030 7732340 9138220 10052042 14360060 20104084 25130105 50260210 100520420