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195540240 = 24357239487
BaseRepresentation
bin10111010011110…
…11010100010000
3111121221110210010
423221323110100
5400024241430
631223034520
74563031110
oct1351732420
9447843703
10195540240
11a0417305
125559ba40
13316853ac
141bd81040
1512277cb0
hexba7b510

195540240 has 160 divisors (see below), whose sum is σ = 697098240. Its totient is φ = 44416512.

The previous prime is 195540217. The next prime is 195540269. The reversal of 195540240 is 42045591.

195540240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 195540198 and 195540207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401277 + ... + 401763.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2195540240 is an apocalyptic number.

195540240 is a gapful number since it is divisible by the number (10) 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 195540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348549120).

195540240 is an abundant number, since it is smaller than the sum of its proper divisors (501558000).

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

195540240 is a wasteful number, since it uses less digits than its factorization.

195540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 195540240 is about 13983.5703595326. The cubic root of 195540240 is about 580.4240260356.

It can be divided in two parts, 1955 and 40240, that added together give a triangular number (42195 = T290).

The spelling of 195540240 in words is "one hundred ninety-five million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 280 336 420 478 487 560 717 840 956 974 1195 1434 1461 1673 1680 1912 1948 2390 2435 2868 2922 3346 3409 3585 3824 3896 4780 4870 5019 5736 5844 6692 6818 7170 7305 7792 8365 9560 9740 10038 10227 11472 11688 13384 13636 14340 14610 16730 17045 19120 19480 20076 20454 23376 25095 26768 27272 28680 29220 33460 34090 38960 40152 40908 50190 51135 54544 57360 58440 66920 68180 80304 81816 100380 102270 116393 116880 133840 136360 163632 200760 204540 232786 272720 349179 401520 409080 465572 581965 698358 814751 818160 931144 1163930 1396716 1629502 1745895 1862288 2327860 2444253 2793432 3259004 3491790 4073755 4655720 4888506 5586864 6518008 6983580 8147510 9311440 9777012 12221265 13036016 13967160 16295020 19554024 24442530 27934320 32590040 39108048 48885060 65180080 97770120 195540240