Search a number
-
+
106474968 = 23323074817
BaseRepresentation
bin1100101100010…
…10110111011000
321102100111012100
412112022313120
5204224144333
614322043400
72432010435
oct626126730
9242314170
10106474968
1155114246
122b7a9560
131909ca52
14101d8b8c
159533213
hex658add8

106474968 has 48 divisors (see below), whose sum is σ = 289369080. Its totient is φ = 35368704.

The previous prime is 106474957. The next prime is 106474969. The reversal of 106474968 is 869474601.

It is a super-2 number, since 2×1064749682 = 22673837621202048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106474969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19696 + ... + 24512.

Almost surely, 2106474968 is an apocalyptic number.

106474968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106474968 is an abundant number, since it is smaller than the sum of its proper divisors (182894112).

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

106474968 is a wasteful number, since it uses less digits than its factorization.

106474968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106474968 is about 10318.6708446389. The cubic root of 106474968 is about 473.9681653565.

The spelling of 106474968 in words is "one hundred six million, four hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 921 1228 1842 2456 2763 3684 4817 5526 7368 9634 11052 14451 19268 22104 28902 38536 43353 57804 86706 115608 173412 346824 1478819 2957638 4436457 5915276 8872914 11830552 13309371 17745828 26618742 35491656 53237484 106474968