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114495696 = 24327971171
BaseRepresentation
bin1101101001100…
…01000011010000
321222102222120100
412310301003100
5213302330241
615210012400
72560124460
oct664610320
9258388510
10114495696
11596a2347
1232417100
131a94a743
14112c5ba0
15a0b99b6
hex6d310d0

114495696 has 120 divisors (see below), whose sum is σ = 370295744. Its totient is φ = 32348160.

The previous prime is 114495673. The next prime is 114495709. The reversal of 114495696 is 696594411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97191 + ... + 98361.

Almost surely, 2114495696 is an apocalyptic number.

114495696 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 114495696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185147872).

114495696 is an abundant number, since it is smaller than the sum of its proper divisors (255800048).

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

114495696 is a wasteful number, since it uses less digits than its factorization.

114495696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1280 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 114495696 is about 10700.2661649138. The cubic root of 114495696 is about 485.5825302872.

The spelling of 114495696 in words is "one hundred fourteen million, four hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1171 1358 1552 1746 2037 2328 2342 2716 3492 3513 4074 4656 4684 5432 6111 6984 7026 8148 8197 9368 10539 10864 12222 13968 14052 16296 16394 18736 21078 24444 24591 28104 32592 32788 42156 48888 49182 56208 65576 73773 84312 97776 98364 113587 131152 147546 168624 196728 227174 295092 340761 393456 454348 590184 681522 795109 908696 1022283 1180368 1363044 1590218 1817392 2044566 2385327 2726088 3180436 4089132 4770654 5452176 6360872 7155981 8178264 9541308 12721744 14311962 16356528 19082616 28623924 38165232 57247848 114495696