Search a number
-
+
102720996 = 22327537691
BaseRepresentation
bin1100001111101…
…10010111100100
321011021202201100
412013312113210
5202244032441
614105400100
72355054060
oct607662744
9234252640
10102720996
1152a8a894
122a499030
1318387171
14d8dcaa0
159040cb6
hex61f65e4

102720996 has 72 divisors (see below), whose sum is σ = 302387904. Its totient is φ = 28791360.

The previous prime is 102720979. The next prime is 102721007. The reversal of 102720996 is 699027201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102720996.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9511 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (4199832).

Almost surely, 2102720996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102720996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151193952).

102720996 is an abundant number, since it is smaller than the sum of its proper divisors (199666908).

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

102720996 is a wasteful number, since it uses less digits than its factorization.

102720996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 102720996 is about 10135.1367035674. The cubic root of 102720996 is about 468.3311813187.

The spelling of 102720996 in words is "one hundred two million, seven hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 7691 13356 15382 23073 30764 46146 53837 69219 92292 107674 138438 161511 215348 276876 323022 407623 484533 646044 815246 969066 1222869 1630492 1938132 2445738 2853361 3668607 4891476 5706722 7337214 8560083 11413444 14674428 17120166 25680249 34240332 51360498 102720996