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1069968704 = 26722711259
BaseRepresentation
bin111111110001100…
…110110101000000
32202120100001010112
4333301212311000
54142402444304
6254101050452
735341404200
oct7761466500
92676301115
101069968704
114a9a73362
1225a3b6a28
1314089769c
14a2162400
1563e02b6e
hex3fc66d40

1069968704 has 84 divisors (see below), whose sum is σ = 2480950080. Its totient is φ = 456503040.

The previous prime is 1069968703. The next prime is 1069968709. The reversal of 1069968704 is 4078699601.

It is a super-3 number, since 3×10699687043 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069968703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849227 + ... + 850485.

It is an arithmetic number, because the mean of its divisors is an integer number (29535120).

Almost surely, 21069968704 is an apocalyptic number.

1069968704 is a gapful number since it is divisible by the number (14) 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 1069968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240475040).

1069968704 is an abundant number, since it is smaller than the sum of its proper divisors (1410981376).

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

1069968704 is a wasteful number, since it uses less digits than its factorization.

1069968704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 1069968704 is about 32710.3760907758. The cubic root of 1069968704 is about 1022.7991497615.

The spelling of 1069968704 in words is "one billion, sixty-nine million, nine hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 271 392 448 542 784 1084 1259 1568 1897 2168 2518 3136 3794 4336 5036 7588 8672 8813 10072 13279 15176 17344 17626 20144 26558 30352 35252 40288 53116 60704 61691 70504 80576 106232 121408 123382 141008 212464 246764 282016 341189 424928 493528 564032 682378 849856 987056 1364756 1974112 2388323 2729512 3948224 4776646 5459024 9553292 10918048 16718261 19106584 21836096 33436522 38213168 66873044 76426336 133746088 152852672 267492176 534984352 1069968704