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100520676 = 22345572
BaseRepresentation
bin1011111110111…
…01001011100100
321000010222110000
411333131023210
5201213130201
613550301300
72330261124
oct577351344
9230128400
10100520676
1151817743
12297b7830
1317a967b9
14d4c8c84
158c58d86
hex5fdd2e4

100520676 has 45 divisors (see below), whose sum is σ = 263253529. Its totient is φ = 33446736.

The previous prime is 100520669. The next prime is 100520681. The reversal of 100520676 is 676025001.

The square root of 100520676 is 10026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 91699776 = 2970^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 180190 + ... + 180746.

Almost surely, 2100520676 is an apocalyptic number.

100520676 is the 10026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100520676

100520676 is an abundant number, since it is smaller than the sum of its proper divisors (162732853).

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

100520676 is an frugal number, since it uses more digits than its factorization.

100520676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 100520676 is about 464.9630771931.

Adding to 100520676 its reverse (676025001), we get a palindrome (776545677).

The spelling of 100520676 in words is "one hundred million, five hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 557 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 45117 60156 90234 180468 310249 620498 930747 1240996 1861494 2792241 3722988 5584482 8376723 11168964 16753446 25130169 33506892 50260338 100520676