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5106465 = 3257132943
BaseRepresentation
bin10011011110101100100001
3100121102202100
4103132230201
52301401330
6301241013
761255440
oct23365441
910542670
105106465
112978621
121863169
13109a3a0
1496cd57
156ad060
hex4deb21

5106465 has 96 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 2032128.

The previous prime is 5106433. The next prime is 5106469. The reversal of 5106465 is 5646015.

It is a happy number.

5106465 is a `hidden beast` number, since 5 + 10 + 646 + 5 = 666.

5106465 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5106465 - 25 = 5106433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5106469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118734 + ... + 118776.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 25106465 is an apocalyptic number.

5106465 is the 1305-th octagonal number.

It is an amenable number.

5106465 is an abundant number, since it is smaller than the sum of its proper divisors (6425055).

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

5106465 is a wasteful number, since it uses less digits than its factorization.

5106465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5106465 is about 2259.7488798537. The cubic root of 5106465 is about 172.2027647498.

The spelling of 5106465 in words is "five million, one hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 29 35 39 43 45 63 65 87 91 105 117 129 145 195 203 215 261 273 301 315 377 387 435 455 559 585 609 645 819 903 1015 1131 1247 1305 1365 1505 1677 1827 1885 1935 2639 2709 2795 3045 3393 3741 3913 4095 4515 5031 5655 6235 7917 8385 8729 9135 11223 11739 13195 13545 16211 16965 18705 19565 23751 25155 26187 35217 39585 43645 48633 56115 58695 78561 81055 113477 118755 130935 145899 176085 243165 340431 392805 567385 729495 1021293 1702155 5106465