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195042980 = 2251119291609
BaseRepresentation
bin10111010000000…
…01111010100100
3111121000012200002
423220001322210
5344412333410
631204240432
74555560266
oct1350017244
9447005602
10195042980
11a0107750
12553a0118
133153cc62
141bc91b36
15121ca7a5
hexba01ea4

195042980 has 96 divisors (see below), whose sum is σ = 486864000. Its totient is φ = 64834560.

The previous prime is 195042977. The next prime is 195042983. The reversal of 195042980 is 89240591.

It is an interprime number because it is at equal distance from previous prime (195042977) and next prime (195042983).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (195042983) 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, 120416 + ... + 122024.

It is an arithmetic number, because the mean of its divisors is an integer number (5071500).

Almost surely, 2195042980 is an apocalyptic number.

195042980 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 195042980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432000).

195042980 is an abundant number, since it is smaller than the sum of its proper divisors (291821020).

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

195042980 is a wasteful number, since it uses less digits than its factorization.

195042980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 195042980 is about 13965.7788898436. The cubic root of 195042980 is about 579.9316011295.

The spelling of 195042980 in words is "one hundred ninety-five million, forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 1609 2090 2204 2755 3190 3218 4180 5510 6061 6380 6436 8045 11020 12122 16090 17699 24244 30305 30571 32180 35398 46661 60610 61142 70796 88495 93322 121220 122284 152855 176990 186644 233305 305710 336281 353980 466610 513271 611420 672562 886559 933220 1026542 1345124 1681405 1773118 2053084 2566355 3362810 3546236 4432795 5132710 6725620 8865590 9752149 10265420 17731180 19504298 39008596 48760745 97521490 195042980