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114561405 = 3357121229
BaseRepresentation
bin1101101010000…
…01000101111101
321222120022201000
412311001011331
5213311431110
615211240513
72560520160
oct665010575
9258508630
10114561405
1159737752
1232449139
131a97161a
1411301ad7
15a0ce1c0
hex6d4117d

114561405 has 32 divisors (see below), whose sum is σ = 232761600. Its totient is φ = 52370496.

The previous prime is 114561389. The next prime is 114561407. The reversal of 114561405 is 504165411.

114561405 is a `hidden beast` number, since 1 + 1 + 45 + 614 + 0 + 5 = 666.

It is not a de Polignac number, because 114561405 - 24 = 114561389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114561407) 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, 59670 + ... + 61559.

It is an arithmetic number, because the mean of its divisors is an integer number (7273800).

Almost surely, 2114561405 is an apocalyptic number.

114561405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114561405 is an abundant number, since it is smaller than the sum of its proper divisors (118200195).

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

114561405 is a wasteful number, since it uses less digits than its factorization.

114561405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121250 (or 121244 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114561405 is about 10703.3361621506. The cubic root of 114561405 is about 485.6754043477.

The spelling of 114561405 in words is "one hundred fourteen million, five hundred sixty-one thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 121229 363687 606145 848603 1091061 1818435 2545809 3273183 4243015 5455305 7637427 12729045 16365915 22912281 38187135 114561405