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114056397 = 3371361761
BaseRepresentation
bin1101100110001…
…01110011001101
321221121122222000
412303011303031
5213144301042
615152342513
72553314640
oct663056315
9257548860
10114056397
1159422294
1232244a39
131a8257c0
141120da57
15a02e74c
hex6cc5ccd

114056397 has 64 divisors (see below), whose sum is σ = 211653120. Its totient is φ = 59097600.

The previous prime is 114056353. The next prime is 114056407. The reversal of 114056397 is 793650411.

114056397 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 563 + 97 = 666.

It is not a de Polignac number, because 114056397 - 214 = 114040013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114056497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149497 + ... + 150257.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2114056397 is an apocalyptic number.

It is an amenable number.

114056397 is a deficient number, since it is larger than the sum of its proper divisors (97596723).

114056397 is a wasteful number, since it uses less digits than its factorization.

114056397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 114056397 is about 10679.7189569763. The cubic root of 114056397 is about 484.9607039406.

The spelling of 114056397 in words is "one hundred fourteen million, fifty-six thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 13 21 27 39 61 63 91 117 183 189 273 351 427 549 761 793 819 1281 1647 2283 2379 2457 3843 5327 5551 6849 7137 9893 11529 15981 16653 20547 21411 29679 46421 47943 49959 69251 89037 139263 143829 149877 207753 267111 324947 417789 603473 623259 974841 1253367 1810419 1869777 2924523 4224311 5431257 8773569 12672933 16293771 38018799 114056397