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195988120 = 23547611709
BaseRepresentation
bin10111010111010…
…00101010011000
3111122210020011021
423223220222120
5400133104440
631240412224
74566604636
oct1353505230
9448706137
10195988120
11a06a2859
1255777074
13317b1203
141c05a356
151231584a
hexbae8a98

195988120 has 64 divisors (see below), whose sum is σ = 458006400. Its totient is φ = 75425280.

The previous prime is 195988099. The next prime is 195988123. The reversal of 195988120 is 21889591.

195988120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1959881202 = 76822686362268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195988123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113826 + ... + 115534.

It is an arithmetic number, because the mean of its divisors is an integer number (7156350).

Almost surely, 2195988120 is an apocalyptic number.

195988120 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 195988120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

195988120 is an abundant number, since it is smaller than the sum of its proper divisors (262018280).

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

195988120 is a wasteful number, since it uses less digits than its factorization.

195988120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The square root of 195988120 is about 13999.5757078563. The cubic root of 195988120 is about 580.8668370011.

The spelling of 195988120 in words is "one hundred ninety-five million, nine hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1709 1880 2440 2867 3418 5734 6836 8545 11468 13672 14335 17090 22936 28670 34180 57340 68360 80323 104249 114680 160646 208498 321292 401615 416996 521245 642584 803230 833992 1042490 1606460 2084980 3212920 4169960 4899703 9799406 19598812 24498515 39197624 48997030 97994060 195988120