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195048960 = 2935109233
BaseRepresentation
bin10111010000000…
…11011000000000
3111121000111212120
423220003120000
5344413031320
631204324240
74555613601
oct1350033000
9447014776
10195048960
11a0111197
12553a3680
13315428b2
141bc93da8
15121cc440
hexba03600

195048960 has 160 divisors (see below), whose sum is σ = 631968480. Its totient is φ = 51314688.

The previous prime is 195048949. The next prime is 195048979. The reversal of 195048960 is 69840591.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 837004 + ... + 837236.

It is an arithmetic number, because the mean of its divisors is an integer number (3949803).

Almost surely, 2195048960 is an apocalyptic number.

195048960 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 195048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315984240).

195048960 is an abundant number, since it is smaller than the sum of its proper divisors (436919520).

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

195048960 is a wasteful number, since it uses less digits than its factorization.

195048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 195048960 is about 13965.9929829569. The cubic root of 195048960 is about 579.9375279523.

The spelling of 195048960 in words is "one hundred ninety-five million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 233 240 256 320 327 384 436 466 480 512 545 640 654 699 768 872 932 960 1090 1165 1280 1308 1398 1536 1635 1744 1864 1920 2180 2330 2560 2616 2796 3270 3488 3495 3728 3840 4360 4660 5232 5592 6540 6976 6990 7456 7680 8720 9320 10464 11184 13080 13952 13980 14912 17440 18640 20928 22368 25397 26160 27904 27960 29824 34880 37280 41856 44736 50794 52320 55808 55920 59648 69760 74560 76191 83712 89472 101588 104640 111840 119296 126985 139520 149120 152382 167424 178944 203176 209280 223680 253970 279040 298240 304764 357888 380955 406352 418560 447360 507940 596480 609528 761910 812704 837120 894720 1015880 1219056 1523820 1625408 1789440 2031760 2438112 3047640 3250816 4063520 4876224 6095280 6501632 8127040 9752448 12190560 13003264 16254080 19504896 24381120 32508160 39009792 48762240 65016320 97524480 195048960