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195432420 = 223543211359
BaseRepresentation
bin10111010011000…
…00111111100100
3111121201222212210
423221200333210
5400012314140
631220443420
74562101551
oct1351407744
9447658783
10195432420
11a03532a7
1255549570
13316482b1
141bd53a28
1512255d80
hexba60fe4

195432420 has 96 divisors (see below), whose sum is σ = 564157440. Its totient is φ = 50520960.

The previous prime is 195432373. The next prime is 195432427. The reversal of 195432420 is 24234591.

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

It is not an unprimeable number, because it can be changed into a prime (195432427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544201 + ... + 544559.

It is an arithmetic number, because the mean of its divisors is an integer number (5876640).

Almost surely, 2195432420 is an apocalyptic number.

195432420 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 195432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282078720).

195432420 is an abundant number, since it is smaller than the sum of its proper divisors (368725020).

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

195432420 is a wasteful number, since it uses less digits than its factorization.

195432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 195432420 is about 13979.7145893613. The cubic root of 195432420 is about 580.3173253647.

The spelling of 195432420 in words is "one hundred ninety-five million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 211 215 258 359 422 430 516 633 645 718 844 860 1055 1077 1266 1290 1436 1795 2110 2154 2532 2580 3165 3590 4220 4308 5385 6330 7180 9073 10770 12660 15437 18146 21540 27219 30874 36292 45365 46311 54438 61748 75749 77185 90730 92622 108876 136095 151498 154370 181460 185244 227247 231555 272190 302996 308740 378745 454494 463110 544380 757490 908988 926220 1136235 1514980 2272470 3257207 4544940 6514414 9771621 13028828 16286035 19543242 32572070 39086484 48858105 65144140 97716210 195432420