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1073797872 = 243723413389
BaseRepresentation
bin100000000000000…
…1101101011110000
32202211112120202120
41000000031223300
54144343012442
6254315114240
735416063020
oct10000155360
92684476676
101073797872
11501149264
1225b742980
13141608574
14a287ba80
156440c4ec
hex4000daf0

1073797872 has 160 divisors (see below), whose sum is σ = 3389783040. Its totient is φ = 286218240.

The previous prime is 1073797867. The next prime is 1073797883. The reversal of 1073797872 is 2787973701.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 315154 + ... + 318542.

It is an arithmetic number, because the mean of its divisors is an integer number (21186144).

Almost surely, 21073797872 is an apocalyptic number.

1073797872 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 1073797872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694891520).

1073797872 is an abundant number, since it is smaller than the sum of its proper divisors (2315985168).

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

1073797872 is a wasteful number, since it uses less digits than its factorization.

1073797872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The square root of 1073797872 is about 32768.8552134492. The cubic root of 1073797872 is about 1024.0178168694.

The spelling of 1073797872 in words is "one billion, seventy-three million, seven hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 41 42 46 48 56 69 82 84 92 112 123 138 161 164 168 184 246 276 287 322 328 336 368 483 492 552 574 644 656 861 943 966 984 1104 1148 1288 1722 1886 1932 1968 2296 2576 2829 3389 3444 3772 3864 4592 5658 6601 6778 6888 7544 7728 10167 11316 13202 13556 13776 15088 19803 20334 22632 23723 26404 27112 39606 40668 45264 47446 52808 54224 71169 77947 79212 81336 94892 105616 138949 142338 155894 158424 162672 189784 233841 277898 284676 311788 316848 379568 416847 467682 545629 555796 569352 623576 833694 935364 972643 1091258 1111592 1138704 1247152 1636887 1667388 1870728 1945286 2182516 2223184 2917929 3195827 3273774 3334776 3741456 3890572 4365032 5835858 6391654 6547548 6669552 7781144 8730064 9587481 11671716 12783308 13095096 15562288 19174962 22370789 23343432 25566616 26190192 38349924 44741578 46686864 51133232 67112367 76699848 89483156 134224734 153399696 178966312 268449468 357932624 536898936 1073797872