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16122960 = 2432572457
BaseRepresentation
bin111101100000…
…010001010000
31010100010112200
4331200101100
513111413320
61333323200
7254020500
oct75402120
933303480
1016122960
119112467
125496500
133456819
1421d9a00
151637290
hexf60450

16122960 has 180 divisors, whose sum is σ = 63124308. Its totient is φ = 3677184.

The previous prime is 16122949. The next prime is 16122983. The reversal of 16122960 is 6922161.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 5934096 = 3192^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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, 35052 + ... + 35508.

Almost surely, 216122960 is an apocalyptic number.

16122960 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 16122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31562154).

16122960 is an abundant number, since it is smaller than the sum of its proper divisors (47001348).

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

16122960 is a wasteful number, since it uses less digits than its factorization.

16122960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16122960 is about 4015.3405833130. The cubic root of 16122960 is about 252.6280629993.

The spelling of 16122960 in words is "sixteen million, one hundred twenty-two thousand, nine hundred sixty".