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114294096 = 24327711597
BaseRepresentation
bin1101100111111…
…11110101010000
321222001202000200
412303333311100
5213224402341
615201415200
72555324640
oct663776520
9258052020
10114294096
1159574934
123233a500
131a8a9a57
1411272520
15a079db6
hex6cffd50

114294096 has 120 divisors (see below), whose sum is σ = 370940544. Its totient is φ = 32175360.

The previous prime is 114294091. The next prime is 114294113. The reversal of 114294096 is 690492411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114294096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114294091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70770 + ... + 72366.

Almost surely, 2114294096 is an apocalyptic number.

114294096 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 114294096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185470272).

114294096 is an abundant number, since it is smaller than the sum of its proper divisors (256646448).

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

114294096 is a wasteful number, since it uses less digits than its factorization.

114294096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114294096 is about 10690.8416880992. The cubic root of 114294096 is about 485.2973639634.

The spelling of 114294096 in words is "one hundred fourteen million, two hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1597 1704 1988 2556 2982 3194 3408 3976 4473 4791 5112 5964 6388 7952 8946 9582 10224 11179 11928 12776 14373 17892 19164 22358 23856 25552 28746 33537 35784 38328 44716 57492 67074 71568 76656 89432 100611 113387 114984 134148 178864 201222 226774 229968 268296 340161 402444 453548 536592 680322 793709 804888 907096 1020483 1360644 1587418 1609776 1814192 2040966 2381127 2721288 3174836 4081932 4762254 5442576 6349672 7143381 8163864 9524508 12699344 14286762 16327728 19049016 28573524 38098032 57147048 114294096