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1064455680 = 29351731263
BaseRepresentation
bin111111011100100…
…100111000000000
32202011221221200110
4333130210320000
54140000040210
6253342551320
735243503221
oct7734447000
92664857613
101064455680
114a6948342
12258598540
1313c6b7242
14a1529248
15636b4420
hex3f724e00

1064455680 has 320 divisors, whose sum is σ = 3733475328. Its totient is φ = 257556480.

The previous prime is 1064455633. The next prime is 1064455699. The reversal of 1064455680 is 865544601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10644556802 = 2266131789368524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047229 + ... + 4047491.

Almost surely, 21064455680 is an apocalyptic number.

1064455680 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 1064455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866737664).

1064455680 is an abundant number, since it is smaller than the sum of its proper divisors (2669019648).

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

1064455680 is a wasteful number, since it uses less digits than its factorization.

1064455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1064455680 is about 32625.9969962605. The cubic root of 1064455680 is about 1021.0394632182.

The spelling of 1064455680 in words is "one billion, sixty-four million, four hundred fifty-five thousand, six hundred eighty".