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1073709054 = 2331143127331
BaseRepresentation
bin111111111111110…
…111111111111110
32202211101001221000
4333333313333332
54144332142204
6254313151130
735415243045
oct7777677776
92684331830
101073709054
11501098560
1225b6bb4a6
131415a7002
14a285755c
15643e1039
hex3fff7ffe

1073709054 has 128 divisors (see below), whose sum is σ = 2692546560. Its totient is φ = 314344800.

The previous prime is 1073709053. The next prime is 1073709061. The reversal of 1073709054 is 4509073701.

It is a happy number.

It is a super-2 number, since 2×10737090542 = 2305702265283149832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073709053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3243669 + ... + 3243999.

It is an arithmetic number, because the mean of its divisors is an integer number (21035520).

Almost surely, 21073709054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073709054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346273280).

1073709054 is an abundant number, since it is smaller than the sum of its proper divisors (1618837506).

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

1073709054 is a wasteful number, since it uses less digits than its factorization.

1073709054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1073709054 is about 32767.4999656672. The cubic root of 1073709054 is about 1023.9895825916.

The spelling of 1073709054 in words is "one billion, seventy-three million, seven hundred nine thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 127 129 198 254 258 297 331 381 387 473 594 662 762 774 946 993 1143 1161 1397 1419 1986 2286 2322 2794 2838 2979 3429 3641 4191 4257 5461 5958 6858 7282 8382 8514 8937 10922 10923 12573 12771 14233 16383 17874 21846 25146 25542 28466 32766 32769 37719 42037 42699 49149 60071 65538 75438 84074 85398 98298 98307 120142 126111 128097 147447 156563 180213 196614 252222 256194 294894 313126 360426 378333 384291 462407 469689 540639 756666 768582 924814 939378 1081278 1134999 1387221 1409067 1621917 1807591 2269998 2774442 2818134 3243834 3615182 4161663 4227201 5422773 8323326 8454402 10845546 12484989 16268319 19883501 24969978 32536638 39767002 48804957 59650503 97609914 119301006 178951509 357903018 536854527 1073709054