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1068954480 = 2432511139971
BaseRepresentation
bin111111101101101…
…111001101110000
32202111102111212200
4333231233031300
54142123020410
6254023223200
735326651236
oct7755571560
92674374780
101068954480
114a9440360
12259ba7b00
13140600b59
14a1d7a956
1563ca23c0
hex3fb6f370

1068954480 has 240 divisors, whose sum is σ = 3948497280. Its totient is φ = 257011200.

The previous prime is 1068954473. The next prime is 1068954499. The reversal of 1068954480 is 844598601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10689544802 = 2285327360624140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100395 + ... + 1101365.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 21068954480 is an apocalyptic number.

1068954480 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 1068954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640).

1068954480 is an abundant number, since it is smaller than the sum of its proper divisors (2879542800).

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

1068954480 is a wasteful number, since it uses less digits than its factorization.

1068954480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1068954480 is about 32694.8693222652. The cubic root of 1068954480 is about 1022.4758769464.

The spelling of 1068954480 in words is "one billion, sixty-eight million, nine hundred fifty-four thousand, four hundred eighty".