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700160040 = 233255093821
BaseRepresentation
bin101001101110111…
…001100000101000
31210210110211000100
4221232321200220
52413220110130
6153250505400
723231155626
oct5156714050
91723424010
10700160040
1132a249668
12176595260
13b20971a8
1468dba516
1541704c60
hex29bb9828

700160040 has 96 divisors (see below), whose sum is σ = 2280587400. Its totient is φ = 186293760.

The previous prime is 700159979. The next prime is 700160047. The reversal of 700160040 is 40061007.

It can be written as a sum of positive squares in 4 ways, for example, as 697276836 + 2883204 = 26406^2 + 1698^2 .

It is a super-2 number, since 2×7001600402 = 980448163225603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 700159995 and 700160022.

It is not an unprimeable number, because it can be changed into a prime (700160047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181330 + ... + 185150.

Almost surely, 2700160040 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 700160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140293700).

700160040 is an abundant number, since it is smaller than the sum of its proper divisors (1580427360).

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

700160040 is a wasteful number, since it uses less digits than its factorization.

700160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 700160040 is about 26460.5374095085. The cubic root of 700160040 is about 887.9716633276.

The spelling of 700160040 in words is "seven hundred million, one hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 509 1018 1527 2036 2545 3054 3821 4072 4581 5090 6108 7635 7642 9162 10180 11463 12216 15270 15284 18324 19105 20360 22905 22926 30540 30568 34389 36648 38210 45810 45852 57315 61080 68778 76420 91620 91704 114630 137556 152840 171945 183240 229260 275112 343890 458520 687780 1375560 1944889 3889778 5834667 7779556 9724445 11669334 15559112 17504001 19448890 23338668 29173335 35008002 38897780 46677336 58346670 70016004 77795560 87520005 116693340 140032008 175040010 233386680 350080020 700160040