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1450452960 = 2533511131233
BaseRepresentation
bin101011001110100…
…0010011111100000
310202002021122102000
41112131002133200
510432303443320
6355532124000
750641434555
oct12635023740
93662248360
101450452960
11684819860
12345906600
131a16650b8
14da8c6a2c
158750dc90
hex567427e0

1450452960 has 384 divisors, whose sum is σ = 5604318720. Its totient is φ = 347443200.

The previous prime is 1450452953. The next prime is 1450452977. The reversal of 1450452960 is 692540541.

1450452960 is a `hidden beast` number, since 14 + 504 + 52 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6225004 + ... + 6225236.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 21450452960 is an apocalyptic number.

1450452960 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 1450452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802159360).

1450452960 is an abundant number, since it is smaller than the sum of its proper divisors (4153865760).

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

1450452960 is a wasteful number, since it uses less digits than its factorization.

1450452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1450452960 is about 38084.8127210835. The cubic root of 1450452960 is about 1131.9690419266.

The spelling of 1450452960 in words is "one billion, four hundred fifty million, four hundred fifty-two thousand, nine hundred sixty".