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1073765420 = 225721389947
BaseRepresentation
bin100000000000000…
…0101110000101100
32202211110221020122
41000000011300230
54144340443140
6254314304112
735415566300
oct10000056054
92684427218
101073765420
11501126942
1225b728038
131415c6870
14a286dd00
1564402ab5
hex40005c2c

1073765420 has 144 divisors (see below), whose sum is σ = 2859585120. Its totient is φ = 335655936.

The previous prime is 1073765401. The next prime is 1073765453. The reversal of 1073765420 is 245673701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133387 + ... + 1134333.

It is an arithmetic number, because the mean of its divisors is an integer number (19858230).

Almost surely, 21073765420 is an apocalyptic number.

1073765420 is a gapful number since it is divisible by the number (10) 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 1073765420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429792560).

1073765420 is an abundant number, since it is smaller than the sum of its proper divisors (1785819700).

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

1073765420 is a wasteful number, since it uses less digits than its factorization.

1073765420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 1073765420 is about 32768.3600444087. The cubic root of 1073765420 is about 1024.0075009114.

The spelling of 1073765420 in words is "one billion, seventy-three million, seven hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 89 91 98 130 140 178 182 196 245 260 356 364 445 455 490 623 637 890 910 947 980 1157 1246 1274 1780 1820 1894 2314 2492 2548 3115 3185 3788 4361 4628 4735 5785 6230 6370 6629 8099 8722 9470 11570 12311 12460 12740 13258 16198 17444 18940 21805 23140 24622 26516 32396 33145 40495 43610 46403 49244 56693 61555 66290 80990 84283 86177 87220 92806 113386 123110 132580 161980 168566 172354 185612 226772 232015 246220 283465 337132 344708 421415 430885 464030 566930 589981 603239 842830 861770 928060 1095679 1133860 1179962 1206478 1685660 1723540 2191358 2359924 2412956 2949905 3016195 4129867 4382716 5478395 5899810 6032390 7669753 8259734 10956790 11799620 12064780 15339506 16519468 20649335 21913580 30679012 38348765 41298670 53688271 76697530 82597340 107376542 153395060 214753084 268441355 536882710 1073765420