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195432840 = 233252323603
BaseRepresentation
bin10111010011000…
…01000110001000
3111121202000110100
423221201012020
5400012322330
631220445400
74562103021
oct1351410610
9447660410
10195432840
11a0353649
1255549860
1331648545
141bd53c48
1512256060
hexba61188

195432840 has 96 divisors (see below), whose sum is σ = 662800320. Its totient is φ = 49847424.

The previous prime is 195432821. The next prime is 195432857. The reversal of 195432840 is 48234591.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195432795 and 195432804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3522 + ... + 20081.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170).

Almost surely, 2195432840 is an apocalyptic number.

195432840 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 195432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331400160).

195432840 is an abundant number, since it is smaller than the sum of its proper divisors (467367480).

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

195432840 is a wasteful number, since it uses less digits than its factorization.

195432840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23643 (or 23636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 195432840 is about 13979.7296111191. The cubic root of 195432840 is about 580.3177410806.

The spelling of 195432840 in words is "one hundred ninety-five million, four hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 23603 47206 70809 94412 118015 141618 188824 212427 236030 283236 354045 424854 472060 542869 566472 708090 849708 944120 1062135 1085738 1416180 1628607 1699416 2124270 2171476 2714345 2832360 3257214 4248540 4342952 4885821 5428690 6514428 8143035 8497080 9771642 10857380 13028856 16286070 19543284 21714760 24429105 32572140 39086568 48858210 65144280 97716420 195432840