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114173696 = 28713329
BaseRepresentation
bin1101100111000…
…10011100000000
321221211121212102
412303202130000
5213212024241
615155045532
72554313630
oct663423400
9257747772
10114173696
11594a242a
12322a08a8
131a867000
14112406c0
15a05439b
hex6ce2700

114173696 has 144 divisors (see below), whose sum is σ = 291883200. Its totient is φ = 43610112.

The previous prime is 114173693. The next prime is 114173699. The reversal of 114173696 is 696371411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114173693) and next prime (114173699).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114173693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3937010 + ... + 3937038.

Almost surely, 2114173696 is an apocalyptic number.

114173696 is a gapful number since it is divisible by the number (16) 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 114173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145941600).

114173696 is an abundant number, since it is smaller than the sum of its proper divisors (177709504).

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

114173696 is an frugal number, since it uses more digits than its factorization.

114173696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 114173696 is about 10685.2092164824. The cubic root of 114173696 is about 485.1268963313.

The spelling of 114173696 in words is "one hundred fourteen million, one hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 128 169 182 203 208 224 232 256 338 364 377 406 416 448 464 676 728 754 812 832 896 928 1183 1352 1456 1508 1624 1664 1792 1856 2197 2366 2639 2704 2912 3016 3248 3328 3712 4394 4732 4901 5278 5408 5824 6032 6496 7424 8788 9464 9802 10556 10816 11648 12064 12992 15379 17576 18928 19604 21112 21632 23296 24128 25984 30758 34307 35152 37856 39208 42224 43264 48256 51968 61516 63713 68614 70304 75712 78416 84448 96512 123032 127426 137228 140608 151424 156832 168896 246064 254852 274456 281216 302848 313664 337792 445991 492128 509704 548912 562432 627328 675584 891982 984256 1019408 1097824 1254656 1783964 1968512 2038816 2195648 3567928 3937024 4077632 4391296 7135856 8155264 8782592 14271712 16310528 28543424 57086848 114173696