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114796032 = 293135749
BaseRepresentation
bin1101101011110…
…10011000000000
322000000020112220
412311322120000
5213341433112
615220251040
72562515211
oct665723000
9260006486
10114796032
1159887a5a
1232540a80
131aa24360
1411363408
15a12898c
hex6d7a600

114796032 has 80 divisors (see below), whose sum is σ = 329406000. Its totient is φ = 35315712.

The previous prime is 114796001. The next prime is 114796051. The reversal of 114796032 is 230697411.

It is a junction number, because it is equal to n+sod(n) for n = 114795984 and 114796002.

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, 17094 + ... + 22842.

It is an arithmetic number, because the mean of its divisors is an integer number (4117575).

Almost surely, 2114796032 is an apocalyptic number.

114796032 is a gapful number since it is divisible by the number (12) 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 114796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164703000).

114796032 is an abundant number, since it is smaller than the sum of its proper divisors (214609968).

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

114796032 is an equidigital number, since it uses as much as digits as its factorization.

114796032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 114796032 is about 10714.2910171415. The cubic root of 114796032 is about 486.0067400715.

It can be divided in two parts, 1147 and 96032, that added together give a palindrome (97179).

The spelling of 114796032 in words is "one hundred fourteen million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 5749 6656 9984 11498 17247 19968 22996 34494 45992 68988 74737 91984 137976 149474 183968 224211 275952 298948 367936 448422 551904 597896 735872 896844 1103808 1195792 1471744 1793688 2207616 2391584 2943488 3587376 4415232 4783168 7174752 8830464 9566336 14349504 19132672 28699008 38265344 57398016 114796032