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725663070 = 233511733347
BaseRepresentation
bin101011010000001…
…011110101011110
31212120110111121000
4223100023311132
52441232204240
6200001251130
723661014526
oct5320136536
91776414530
10725663070
11342688450
12183033aa6
13b7456342
146c538686
1543a91430
hex2b40bd5e

725663070 has 128 divisors (see below), whose sum is σ = 2140577280. Its totient is φ = 173456640.

The previous prime is 725663069. The next prime is 725663077. The reversal of 725663070 is 70366527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725663077) 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, 215137 + ... + 218483.

It is an arithmetic number, because the mean of its divisors is an integer number (16723260).

Almost surely, 2725663070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725663070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070288640).

725663070 is an abundant number, since it is smaller than the sum of its proper divisors (1414914210).

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

725663070 is a wasteful number, since it uses less digits than its factorization.

725663070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 725663070 is about 26938.1341224666. The cubic root of 725663070 is about 898.6246771673.

The spelling of 725663070 in words is "seven hundred twenty-five million, six hundred sixty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 90 99 110 135 146 165 198 219 270 297 330 365 438 495 594 657 730 803 990 1095 1314 1485 1606 1971 2190 2409 2970 3285 3347 3942 4015 4818 6570 6694 7227 8030 9855 10041 12045 14454 16735 19710 20082 21681 24090 30123 33470 36135 36817 43362 50205 60246 72270 73634 90369 100410 108405 110451 150615 180738 184085 216810 220902 244331 301230 331353 368170 451845 488662 552255 662706 732993 903690 994059 1104510 1221655 1465986 1656765 1988118 2198979 2443310 2687641 3313530 3664965 4397958 4970295 5375282 6596937 7329930 8062923 9940590 10994895 13193874 13438205 16125846 21989790 24188769 26876410 32984685 40314615 48377538 65969370 72566307 80629230 120943845 145132614 241887690 362831535 725663070