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116051544 = 233271912119
BaseRepresentation
bin1101110101011…
…00111001011000
322002101000210100
412322230321120
5214202122134
615303215400
72606264460
oct672547130
9262330710
10116051544
115a565274
1232a47560
131b07396b
14115acba0
15a2c5999
hex6eace58

116051544 has 96 divisors (see below), whose sum is σ = 378144000. Its totient is φ = 31409856.

The previous prime is 116051543. The next prime is 116051549. The reversal of 116051544 is 445150611.

116051544 is a `hidden beast` number, since 1 + 1 + 605 + 1 + 54 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116051543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3517 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (3939000).

Almost surely, 2116051544 is an apocalyptic number.

116051544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116051544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189072000).

116051544 is an abundant number, since it is smaller than the sum of its proper divisors (262092456).

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

116051544 is a wasteful number, since it uses less digits than its factorization.

116051544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 116051544 is about 10772.7222186409. The cubic root of 116051544 is about 487.7721210529.

The spelling of 116051544 in words is "one hundred sixteen million, fifty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 12119 24238 36357 48476 72714 84833 96952 109071 145428 169666 218142 230261 254499 290856 339332 436284 460522 508998 678664 690783 763497 872568 921044 1017996 1381566 1526994 1611827 1842088 2035992 2072349 2763132 3053988 3223654 4144698 4835481 5526264 6107976 6447308 8289396 9670962 12894616 14506443 16578792 19341924 29012886 38683848 58025772 116051544