Search a number
-
+
102720828 = 22376120047
BaseRepresentation
bin1100001111101…
…10010100111100
321011021202111010
412013312110330
5202244031303
614105355220
72355053430
oct607662474
9234252433
10102720828
1152a8a751
122a498b10
1318387072
14d8dc9c0
159040c03
hex61f653c

102720828 has 48 divisors (see below), whose sum is σ = 278426624. Its totient is φ = 28866240.

The previous prime is 102720823. The next prime is 102720833. The reversal of 102720828 is 828027201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102720823) and next prime (102720833).

It is a junction number, because it is equal to n+sod(n) for n = 102720795 and 102720804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102720823) 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, 4900 + ... + 15147.

Almost surely, 2102720828 is an apocalyptic number.

It is an amenable number.

102720828 is an abundant number, since it is smaller than the sum of its proper divisors (175705796).

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

102720828 is a wasteful number, since it uses less digits than its factorization.

102720828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 102720828 is about 10135.1284155653. The cubic root of 102720828 is about 468.3309260003.

The spelling of 102720828 in words is "one hundred two million, seven hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 20047 40094 60141 80188 120282 140329 240564 280658 420987 561316 841974 1222867 1683948 2445734 3668601 4891468 7337202 8560069 14674404 17120138 25680207 34240276 51360414 102720828