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695015040 = 27353111677
BaseRepresentation
bin101001011011010…
…001011010000000
31210102210102101210
4221123101122000
52410410440130
6152544330120
723136346626
oct5133213200
91712712353
10695015040
113273550a5
12174913940
13b0cb5405
146843b516
154103a5b0
hex296d1680

695015040 has 128 divisors (see below), whose sum is σ = 2287019520. Its totient is φ = 179343360.

The previous prime is 695015039. The next prime is 695015051. The reversal of 695015040 is 40510596.

695015040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 695014989 and 695015007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53682 + ... + 65358.

It is an arithmetic number, because the mean of its divisors is an integer number (17867340).

Almost surely, 2695015040 is an apocalyptic number.

695015040 is a gapful number since it is divisible by the number (60) 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 695015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143509760).

695015040 is an abundant number, since it is smaller than the sum of its proper divisors (1592004480).

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

695015040 is a wasteful number, since it uses less digits than its factorization.

695015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 695015040 is about 26363.1379012439. The cubic root of 695015040 is about 885.7912805571.

The spelling of 695015040 in words is "six hundred ninety-five million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11677 11904 14880 19840 23354 29760 35031 46708 58385 59520 70062 93416 116770 140124 175155 186832 233540 280248 350310 361987 373664 467080 560496 700620 723974 747328 934160 1085961 1120992 1401240 1447948 1494656 1809935 1868320 2171922 2241984 2802480 2895896 3619870 3736640 4343844 4483968 5429805 5604960 5791792 7239740 7473280 8687688 10859610 11209920 11583584 14479480 17375376 21719220 22419840 23167168 28958960 34750752 43438440 46334336 57917920 69501504 86876880 115835840 139003008 173753760 231671680 347507520 695015040