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1351068672 = 21031273463
BaseRepresentation
bin101000010000111…
…1010110000000000
310111011021101210110
41100201322300000
510231333144142
6342022031320
745323615502
oct12041726000
93434241713
101351068672
11633708988
12318578540
13186ba8925
14cb615d72
157d92b99c
hex5087ac00

1351068672 has 88 divisors (see below), whose sum is σ = 3630493696. Its totient is φ = 446681088.

The previous prime is 1351068647. The next prime is 1351068679. The reversal of 1351068672 is 2768601531.

It is a self number, because there is not a number n which added to its sum of digits gives 1351068672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351068679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388413 + ... + 391875.

Almost surely, 21351068672 is an apocalyptic number.

1351068672 is a gapful number since it is divisible by the number (12) 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 1351068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815246848).

1351068672 is an abundant number, since it is smaller than the sum of its proper divisors (2279425024).

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

1351068672 is a wasteful number, since it uses less digits than its factorization.

1351068672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1351068672 is about 36756.8860487392. The cubic root of 1351068672 is about 1105.5010038814.

The spelling of 1351068672 in words is "one billion, three hundred fifty-one million, sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 3048 3072 3463 4064 6096 6926 8128 10389 12192 13852 16256 20778 24384 27704 32512 41556 48768 55408 65024 83112 97536 110816 130048 166224 195072 221632 332448 390144 439801 443264 664896 879602 886528 1319403 1329792 1759204 1773056 2638806 2659584 3518408 3546112 5277612 5319168 7036816 10555224 10638336 14073632 21110448 28147264 42220896 56294528 84441792 112589056 168883584 225178112 337767168 450356224 675534336 1351068672