Search a number
-
+
106769984 = 265331477
BaseRepresentation
bin1100101110100…
…10111001000000
321102220110212212
412113102321000
5204313114414
614332241252
72434346516
oct627227100
9242813785
10106769984
11552a5962
122b910228
1319174109
14102744b6
15959083e
hex65d2e40

106769984 has 28 divisors (see below), whose sum is σ = 215876124. Its totient is φ = 52376064.

The previous prime is 106769939. The next prime is 106770031. The reversal of 106769984 is 489967601.

It can be written as a sum of positive squares in 2 ways, for example, as 73960000 + 32809984 = 8600^2 + 5728^2 .

It is a super-2 number, since 2×1067699842 = 22799658966720512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12347 + ... + 19130.

Almost surely, 2106769984 is an apocalyptic number.

It is an amenable number.

106769984 is an abundant number, since it is smaller than the sum of its proper divisors (109106140).

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

106769984 is an equidigital number, since it uses as much as digits as its factorization.

106769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31542 (or 31532 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 106769984 is about 10332.9562081720. The cubic root of 106769984 is about 474.4055114925.

The spelling of 106769984 in words is "one hundred six million, seven hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 31477 62954 125908 251816 503632 1007264 1668281 2014528 3336562 6673124 13346248 26692496 53384992 106769984