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11397120 = 21135753
BaseRepresentation
bin101011011110…
…100000000000
3210110000220120
4223132200000
510404201440
61044140240
7165605520
oct53364000
923400816
1011397120
116484909
123997680
132490777
141729680
151001dd0
hexade800

11397120 has 192 divisors, whose sum is σ = 42456960. Its totient is φ = 2555904.

The previous prime is 11397103. The next prime is 11397163. The reversal of 11397120 is 2179311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215014 + ... + 215066.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 211397120 is an apocalyptic number.

11397120 is a gapful number since it is divisible by the number (10) 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 11397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

11397120 is an abundant number, since it is smaller than the sum of its proper divisors (31059840).

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

11397120 is an equidigital number, since it uses as much as digits as its factorization.

11397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 11397120 is about 3375.9620850952. The cubic root of 11397120 is about 225.0427573063.

The spelling of 11397120 in words is "eleven million, three hundred ninety-seven thousand, one hundred twenty".