Search a number
-
+
105515028 = 2233976991
BaseRepresentation
bin1100100101000…
…00100000010100
321100112201102000
412102200200110
5204002440103
614245315300
72420601663
oct622404024
9240481360
10105515028
1154619003
122b405b30
1318b24b38
1410028dda
1593e3aa3
hex64a0814

105515028 has 24 divisors (see below), whose sum is σ = 273557760. Its totient is φ = 35171640.

The previous prime is 105514987. The next prime is 105515051. The reversal of 105515028 is 820515501.

105515028 is a `hidden beast` number, since 105 + 51 + 502 + 8 = 666.

It is a super-2 number, since 2×1055150282 = 22266842267681568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105514992 and 105515010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488388 + ... + 488603.

It is an arithmetic number, because the mean of its divisors is an integer number (11398240).

Almost surely, 2105515028 is an apocalyptic number.

105515028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105515028 is an abundant number, since it is smaller than the sum of its proper divisors (168042732).

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

105515028 is a wasteful number, since it uses less digits than its factorization.

105515028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977004 (or 976996 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 105515028 is about 10272.0508176313. The cubic root of 105515028 is about 472.5394877555.

The spelling of 105515028 in words is "one hundred five million, five hundred fifteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 976991 1953982 2930973 3907964 5861946 8792919 11723892 17585838 26378757 35171676 52757514 105515028