Search a number
-
+
106694736 = 2436593373
BaseRepresentation
bin1100101110000…
…00100001010000
321102202122122220
412113000201100
5204303212421
614330501040
72433614241
oct627004120
9242678586
10106694736
1155254375
122b894780
1319148aa5
1410254cc8
1595783c6
hex65c0850

106694736 has 40 divisors (see below), whose sum is σ = 276128160. Its totient is φ = 35500416.

The previous prime is 106694719. The next prime is 106694761. The reversal of 106694736 is 637496601.

It is a super-2 number, since 2×1066947362 = 22767533380219392, which contains 22 as substring.

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, 29946 + ... + 33318.

It is an arithmetic number, because the mean of its divisors is an integer number (6903204).

Almost surely, 2106694736 is an apocalyptic number.

106694736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106694736 is an abundant number, since it is smaller than the sum of its proper divisors (169433424).

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

106694736 is a wasteful number, since it uses less digits than its factorization.

106694736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 106694736 is about 10329.3144012563. The cubic root of 106694736 is about 474.2940367935.

The spelling of 106694736 in words is "one hundred six million, six hundred ninety-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 659 1318 1977 2636 3373 3954 5272 6746 7908 10119 10544 13492 15816 20238 26984 31632 40476 53968 80952 161904 2222807 4445614 6668421 8891228 13336842 17782456 26673684 35564912 53347368 106694736