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11077272 = 23321371123
BaseRepresentation
bin101010010000…
…011010011000
3202211210011100
4222100122120
510313433042
61033231400
7163104153
oct52203230
922753140
1011077272
116286578
123862560
1323aaccb
141684c9a
15e8c24c
hexa90698

11077272 has 48 divisors (see below), whose sum is σ = 30246840. Its totient is φ = 3662208.

The previous prime is 11077271. The next prime is 11077291. The reversal of 11077272 is 27277011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9303 + ... + 10425.

Almost surely, 211077272 is an apocalyptic number.

11077272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123420).

11077272 is an abundant number, since it is smaller than the sum of its proper divisors (19169568).

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

11077272 is a wasteful number, since it uses less digits than its factorization.

11077272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 11077272 is about 3328.2535961071. The cubic root of 11077272 is about 222.9175561770.

The spelling of 11077272 in words is "eleven million, seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1123 1233 1644 2246 2466 3288 3369 4492 4932 6738 8984 9864 10107 13476 20214 26952 40428 80856 153851 307702 461553 615404 923106 1230808 1384659 1846212 2769318 3692424 5538636 11077272