Search a number
-
+
100516064 = 2511285557
BaseRepresentation
bin1011111110111…
…00000011100000
321000010202010012
411333130003200
5201213003224
613550224052
72330241515
oct577340340
9230122105
10100516064
1151814230
12297b5028
1317a9467c
14d4c730c
158c5780e
hex5fdc0e0

100516064 has 24 divisors (see below), whose sum is σ = 215881848. Its totient is φ = 45688960.

The previous prime is 100516057. The next prime is 100516067. The reversal of 100516064 is 460615001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100516067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142427 + ... + 143130.

It is an arithmetic number, because the mean of its divisors is an integer number (8995077).

Almost surely, 2100516064 is an apocalyptic number.

It is an amenable number.

100516064 is an abundant number, since it is smaller than the sum of its proper divisors (115365784).

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

100516064 is a wasteful number, since it uses less digits than its factorization.

100516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285578 (or 285570 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100516064 is about 10025.7699953669. The cubic root of 100516064 is about 464.9559660773.

The spelling of 100516064 in words is "one hundred million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 285557 571114 1142228 2284456 3141127 4568912 6282254 9137824 12564508 25129016 50258032 100516064