Search a number
-
+
116435952 = 24321942557
BaseRepresentation
bin1101111000010…
…10101111110000
322010002120002200
412330022233300
5214301422302
615315343200
72612455263
oct674125760
9263076080
10116435952
115a7a8066
1232bb1b00
131b179919
141166ccda
15a34e81c
hex6f0abf0

116435952 has 60 divisors (see below), whose sum is σ = 343017480. Its totient is φ = 36768384.

The previous prime is 116435951. The next prime is 116435981. The reversal of 116435952 is 259534611.

116435952 is a `hidden beast` number, since 1 + 1 + 64 + 3 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116435951) 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, 18543 + ... + 24014.

It is an arithmetic number, because the mean of its divisors is an integer number (5716958).

Almost surely, 2116435952 is an apocalyptic number.

116435952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116435952 is an abundant number, since it is smaller than the sum of its proper divisors (226581528).

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

116435952 is a wasteful number, since it uses less digits than its factorization.

116435952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42590 (or 42581 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 116435952 is about 10790.5491982568. The cubic root of 116435952 is about 488.3100913689.

The spelling of 116435952 in words is "one hundred sixteen million, four hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 42557 85114 127671 170228 255342 340456 383013 510684 680912 766026 808583 1021368 1532052 1617166 2042736 2425749 3064104 3234332 4851498 6128208 6468664 7277247 9702996 12937328 14554494 19405992 29108988 38811984 58217976 116435952