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715145040 = 243254323099
BaseRepresentation
bin101010101000000…
…011111101010000
31211211200010120100
4222220003331100
52431034120130
6154544012400
723502426651
oct5250037520
91754603510
10715145040
11337754065
1217b601100
13b5212a5c
146ad9b528
1542bb4c60
hex2aa03f50

715145040 has 120 divisors (see below), whose sum is σ = 2457655200. Its totient is φ = 186262272.

The previous prime is 715145033. The next prime is 715145063. The reversal of 715145040 is 40541517.

It is a happy number.

715145040 is a `hidden beast` number, since 7 + 151 + 4 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7151450402 = 1022864856473203200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 715144995 and 715145013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19411 + ... + 42509.

It is an arithmetic number, because the mean of its divisors is an integer number (20480460).

Almost surely, 2715145040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228827600).

715145040 is an abundant number, since it is smaller than the sum of its proper divisors (1742510160).

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

715145040 is a wasteful number, since it uses less digits than its factorization.

715145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161 (or 23152 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 715145040 is about 26742.1958709452. The cubic root of 715145040 is about 894.2618634424.

Adding to 715145040 its reverse (40541517), we get a palindrome (755686557).

The spelling of 715145040 in words is "seven hundred fifteen million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 23099 30960 46198 69297 92396 115495 138594 184792 207891 230990 277188 346485 369584 415782 461980 554376 692970 831564 923960 993257 1039455 1108752 1385940 1663128 1847920 1986514 2078910 2771880 2979771 3326256 3973028 4157820 4966285 5543760 5959542 7946056 8315640 8939313 9932570 11919084 14898855 15892112 16631280 17878626 19865140 23838168 29797710 35757252 39730280 44696565 47676336 59595420 71514504 79460560 89393130 119190840 143029008 178786260 238381680 357572520 715145040