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195201840 = 24352273583
BaseRepresentation
bin10111010001010…
…00101100110000
3111121022021120210
423220220230300
5344432424330
631211504120
74560121401
oct1350505460
9447267523
10195201840
11a0206039
1255458040
1331597362
141bcd39a8
151220c8b0
hexba28b30

195201840 has 80 divisors (see below), whose sum is σ = 607961088. Its totient is φ = 51810048.

The previous prime is 195201833. The next prime is 195201859. The reversal of 195201840 is 48102591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 195201798 and 195201807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52689 + ... + 56271.

Almost surely, 2195201840 is an apocalyptic number.

195201840 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 195201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303980544).

195201840 is an abundant number, since it is smaller than the sum of its proper divisors (412759248).

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

195201840 is a wasteful number, since it uses less digits than its factorization.

195201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 195201840 is about 13971.4652059117. The cubic root of 195201840 is about 580.0890073469.

The spelling of 195201840 in words is "one hundred ninety-five million, two hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3583 3632 4540 5448 6810 7166 9080 10749 10896 13620 14332 17915 18160 21498 27240 28664 35830 42996 53745 54480 57328 71660 85992 107490 143320 171984 214980 286640 429960 813341 859920 1626682 2440023 3253364 4066705 4880046 6506728 8133410 9760092 12200115 13013456 16266820 19520184 24400230 32533640 39040368 48800460 65067280 97600920 195201840