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114056052 = 22311337193
BaseRepresentation
bin1101100110001…
…01101101110100
321221121122111020
412303011231310
5213144243202
615152341140
72553313635
oct663055564
9257548436
10114056052
1159422000
12322447b0
131a8255b6
141120d88c
15a02e5bc
hex6cc5b74

114056052 has 96 divisors (see below), whose sum is σ = 302193024. Its totient is φ = 33454080.

The previous prime is 114056051. The next prime is 114056071. The reversal of 114056052 is 250650411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114056051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590868 + ... + 591060.

It is an arithmetic number, because the mean of its divisors is an integer number (3147844).

Almost surely, 2114056052 is an apocalyptic number.

114056052 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 114056052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151096512).

114056052 is an abundant number, since it is smaller than the sum of its proper divisors (188136972).

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

114056052 is a wasteful number, since it uses less digits than its factorization.

114056052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 114056052 is about 10679.7028048537. The cubic root of 114056052 is about 484.9602149673.

The spelling of 114056052 in words is "one hundred fourteen million, fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 193 222 242 363 386 407 444 484 579 726 772 814 1158 1221 1331 1452 1628 2123 2316 2442 2662 3993 4246 4477 4884 5324 6369 7141 7986 8492 8954 12738 13431 14282 15972 17908 21423 23353 25476 26862 28564 42846 46706 49247 53724 70059 78551 85692 93412 98494 140118 147741 157102 196988 235653 256883 280236 295482 314204 471306 513766 590964 770649 864061 942612 1027532 1541298 1728122 2592183 3082596 3456244 5184366 9504671 10368732 19009342 28514013 38018684 57028026 114056052