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1056964608 = 224327
BaseRepresentation
bin111111000000000…
…000000000000000
32201122212100212100
4333000000000000
54131040331413
6252514230400
735123023320
oct7700000000
92648770770
101056964608
114a26a1177
12255b85400
1313ac9365b
14a0539280
1562bd4a73
hex3f000000

1056964608 has 150 divisors (see below), whose sum is σ = 3489660824. Its totient is φ = 301989888.

The previous prime is 1056964501. The next prime is 1056964619. The reversal of 1056964608 is 8064696501.

It is a super-2 number, since 2×10569646082 = 2234348365129187328, which contains 22 as substring.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150994941 + ... + 150994947.

Almost surely, 21056964608 is an apocalyptic number.

1056964608 is a gapful number since it is divisible by the number (18) 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 1056964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744830412).

1056964608 is an abundant number, since it is smaller than the sum of its proper divisors (2432696216).

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

1056964608 is an frugal number, since it uses more digits than its factorization.

1056964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1056964608 is about 32510.9921103617. The cubic root of 1056964608 is about 1018.6386452215.

The spelling of 1056964608 in words is "one billion, fifty-six million, nine hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 8192 9216 10752 12288 14336 16128 16384 18432 21504 24576 28672 32256 32768 36864 43008 49152 57344 64512 65536 73728 86016 98304 114688 129024 131072 147456 172032 196608 229376 258048 262144 294912 344064 393216 458752 516096 524288 589824 688128 786432 917504 1032192 1048576 1179648 1376256 1572864 1835008 2064384 2097152 2359296 2752512 3145728 3670016 4128768 4194304 4718592 5505024 6291456 7340032 8257536 8388608 9437184 11010048 12582912 14680064 16515072 16777216 18874368 22020096 25165824 29360128 33030144 37748736 44040192 50331648 58720256 66060288 75497472 88080384 117440512 132120576 150994944 176160768 264241152 352321536 528482304 1056964608