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70706160 = 24325714029
BaseRepresentation
bin1000011011011…
…10001111110000
311221001020121200
410031232033300
5121100044120
611003251200
71515664260
oct415561760
9157036550
1070706160
1136a03648
121b819b00
1311858085
1495677a0
156319e90
hex436e3f0

70706160 has 120 divisors (see below), whose sum is σ = 271396320. Its totient is φ = 16160256.

The previous prime is 70706159. The next prime is 70706171. The reversal of 70706160 is 6160707.

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

It is a super-4 number, since 4×707061604 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1975 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (2261636).

Almost surely, 270706160 is an apocalyptic number.

70706160 is a gapful number since it is divisible by the number (70) 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 70706160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135698160).

70706160 is an abundant number, since it is smaller than the sum of its proper divisors (200690160).

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

70706160 is a wasteful number, since it uses less digits than its factorization.

70706160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14055 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 70706160 is about 8408.6954993031. The cubic root of 70706160 is about 413.5097466397.

Adding to 70706160 its reverse (6160707), we get a palindrome (76866867).

The spelling of 70706160 in words is "seventy million, seven hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 14029 28058 42087 56116 70145 84174 98203 112232 126261 140290 168348 196406 210435 224464 252522 280580 294609 336696 392812 420870 491015 505044 561160 589218 631305 673392 785624 841740 883827 982030 1010088 1122320 1178436 1262610 1473045 1571248 1683480 1767654 1964060 2020176 2356872 2525220 2946090 3366960 3535308 3928120 4419135 4713744 5050440 5892180 7070616 7856240 8838270 10100880 11784360 14141232 17676540 23568720 35353080 70706160