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114604061 = 11213411777
BaseRepresentation
bin1101101010010…
…11100000011101
321222122111012212
412311023200131
5213314312221
615212210205
72561055425
oct665134035
9258574185
10114604061
1159766800
1232469965
131a987b70
1411313485
15a0dbb5b
hex6d4b81d

114604061 has 24 divisors (see below), whose sum is σ = 139046712. Its totient is φ = 93772800.

The previous prime is 114604057. The next prime is 114604069. The reversal of 114604061 is 160406411.

It can be written as a sum of positive squares in 4 ways, for example, as 755161 + 113848900 = 869^2 + 10670^2 .

It is not a de Polignac number, because 114604061 - 22 = 114604057 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114604069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63605 + ... + 65381.

It is an arithmetic number, because the mean of its divisors is an integer number (5793613).

Almost surely, 2114604061 is an apocalyptic number.

114604061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114604061 is a deficient number, since it is larger than the sum of its proper divisors (24442651).

114604061 is a wasteful number, since it uses less digits than its factorization.

114604061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114604061 is about 10705.3286264365. The cubic root of 114604061 is about 485.7356759529.

The spelling of 114604061 in words is "one hundred fourteen million, six hundred four thousand, sixty-one".

Divisors: 1 11 13 41 121 143 451 533 1573 1777 4961 5863 19547 23101 64493 72857 215017 254111 801427 947141 2795221 8815697 10418551 114604061