Search a number
-
+
195362440 = 235713191281
BaseRepresentation
bin10111010010011…
…11111010001000
3111121121102212221
423221033322020
5400003044230
631215143424
74561360540
oct1351177210
9447542787
10195362440
11a0305769
1255514b74
13316224a0
141bd36320
151224027a
hexba4fe88

195362440 has 128 divisors (see below), whose sum is σ = 545771520. Its totient is φ = 61286400.

The previous prime is 195362407. The next prime is 195362477. The reversal of 195362440 is 44263591.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 195362396 and 195362405.

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, 695100 + ... + 695380.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2195362440 is an apocalyptic number.

195362440 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 195362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272885760).

195362440 is an abundant number, since it is smaller than the sum of its proper divisors (350409080).

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

195362440 is a wasteful number, since it uses less digits than its factorization.

195362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 195362440 is about 13977.2114529329. The cubic root of 195362440 is about 580.2480508560.

The spelling of 195362440 in words is "one hundred ninety-five million, three hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 191 260 280 281 364 382 455 520 562 728 764 910 955 1124 1337 1405 1528 1820 1910 1967 2248 2483 2674 2810 3640 3653 3820 3934 4966 5348 5620 6685 7306 7640 7868 9835 9932 10696 11240 12415 13370 14612 15736 17381 18265 19670 19864 24830 25571 26740 29224 34762 36530 39340 49660 51142 53480 53671 69524 73060 78680 86905 99320 102284 107342 127855 139048 146120 173810 204568 214684 255710 268355 347620 375697 429368 511420 536710 695240 697723 751394 1022840 1073420 1395446 1502788 1878485 2146840 2790892 3005576 3488615 3756970 4884061 5581784 6977230 7513940 9768122 13954460 15027880 19536244 24420305 27908920 39072488 48840610 97681220 195362440