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2913120 = 253257172
BaseRepresentation
bin1011000111001101100000
312111000001100
423013031200
51221204440
6142234400
733522030
oct13071540
95430040
102913120
11170a741
12b85a00
137acc52
1455b8c0
153c8230
hex2c7360

2913120 has 216 divisors, whose sum is σ = 12068784. Its totient is φ = 626688.

The previous prime is 2913083. The next prime is 2913139. The reversal of 2913120 is 213192.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2913093 and 2913102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171352 + ... + 171368.

It is an arithmetic number, because the mean of its divisors is an integer number (55874).

22913120 is an apocalyptic number.

2913120 is a gapful number since it is divisible by the number (20) 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 2913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034392).

2913120 is an abundant number, since it is smaller than the sum of its proper divisors (9155664).

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

2913120 is a wasteful number, since it uses less digits than its factorization.

2913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2913120 is about 1706.7864541295. The cubic root of 2913120 is about 142.8190450789.

The spelling of 2913120 in words is "two million, nine hundred thirteen thousand, one hundred twenty".