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11298105 = 3257133189
BaseRepresentation
bin101011000110…
…010100111001
3210021000002100
4223012110321
510343014410
61042054013
7165014040
oct53062471
923230070
1011298105
116417485
12394a309
132457690
141701557
15ed28c0
hexac6539

11298105 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4561920.

The previous prime is 11298101. The next prime is 11298107. The reversal of 11298105 is 50189211.

11298105 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11298105 - 22 = 11298101 is a prime.

11298105 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11298101) 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, 126901 + ... + 126989.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211298105 is an apocalyptic number.

11298105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11298105 is an abundant number, since it is smaller than the sum of its proper divisors (13861575).

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

11298105 is a wasteful number, since it uses less digits than its factorization.

11298105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11298105 is about 3361.2653867257. The cubic root of 11298105 is about 224.3891579689.

It can be divided in two parts, 11 and 298105, that added together give a square (298116 = 5462).

The spelling of 11298105 in words is "eleven million, two hundred ninety-eight thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 31 35 39 45 63 65 89 91 93 105 117 155 195 217 267 273 279 315 403 445 455 465 585 623 651 801 819 1085 1157 1209 1335 1365 1395 1869 1953 2015 2759 2821 3115 3255 3471 3627 4005 4095 5607 5785 6045 8099 8277 8463 9345 9765 10413 13795 14105 17355 18135 19313 24297 24831 25389 28035 35867 40495 41385 42315 52065 57939 72891 96565 107601 121485 124155 126945 173817 179335 251069 289695 322803 364455 538005 753207 869085 1255345 1614015 2259621 3766035 11298105