Search a number
-
+
101194416 = 24323122669
BaseRepresentation
bin1100000100000…
…01101010110000
321001102012122100
412002001222300
5201401210131
614012540400
72336065311
oct602015260
9231365570
10101194416
1152137954
1229a81700
1317c7136b
14d622608
158d3d7e6
hex6081ab0

101194416 has 60 divisors (see below), whose sum is σ = 292352320. Its totient is φ = 32641920.

The previous prime is 101194403. The next prime is 101194439. The reversal of 101194416 is 614491101.

It is a self number, because there is not a number n which added to its sum of digits gives 101194416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6871 + ... + 15798.

Almost surely, 2101194416 is an apocalyptic number.

101194416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101194416 is an abundant number, since it is smaller than the sum of its proper divisors (191157904).

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

101194416 is a wasteful number, since it uses less digits than its factorization.

101194416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22714 (or 22705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101194416 is about 10059.5435284112. The cubic root of 101194416 is about 465.9995702011. Note that the first 3 decimals are identical.

It can be divided in two parts, 10119 and 4416, that added together give a triangular number (14535 = T170).

The spelling of 101194416 in words is "one hundred one million, one hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 22669 45338 68007 90676 136014 181352 204021 272028 362704 408042 544056 702739 816084 1088112 1405478 1632168 2108217 2810956 3264336 4216434 5621912 6324651 8432868 11243824 12649302 16865736 25298604 33731472 50597208 101194416