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195770240 = 2751132707
BaseRepresentation
bin10111010101100…
…11011110000000
3111122101011021122
423222303132000
5400104121430
631232011412
74565006501
oct1352633600
9448334248
10195770240
11a0564096
1255690b68
1331735ca3
141c000ba8
15122c0ee5
hexbab3780

195770240 has 64 divisors (see below), whose sum is σ = 472329360. Its totient is φ = 77586432.

The previous prime is 195770233. The next prime is 195770251. The reversal of 195770240 is 42077591.

195770240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 195770240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70967 + ... + 73673.

Almost surely, 2195770240 is an apocalyptic number.

195770240 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 195770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236164680).

195770240 is an abundant number, since it is smaller than the sum of its proper divisors (276559120).

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

195770240 is a wasteful number, since it uses less digits than its factorization.

195770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 195770240 is about 13991.7918795271. The cubic root of 195770240 is about 580.6515072929.

The spelling of 195770240 in words is "one hundred ninety-five million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1808 2260 2707 3616 4520 5414 7232 9040 10828 13535 14464 18080 21656 27070 36160 43312 54140 72320 86624 108280 173248 216560 305891 346496 433120 611782 866240 1223564 1529455 1732480 2447128 3058910 4894256 6117820 9788512 12235640 19577024 24471280 39154048 48942560 97885120 195770240