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196038960 = 243513193307
BaseRepresentation
bin10111010111101…
…01000100110000
3111122212210220020
423223311010300
5400141221320
631241443440
74600206105
oct1353650460
9448783806
10196038960
11a0727a77
12557a0580
13317cb3b0
141c070aac
1512325940
hexbaf5130

196038960 has 160 divisors (see below), whose sum is σ = 689122560. Its totient is φ = 45702144.

The previous prime is 196038949. The next prime is 196038967. The reversal of 196038960 is 69830691.

196038960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196038967) 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, 57627 + ... + 60933.

It is an arithmetic number, because the mean of its divisors is an integer number (4307016).

Almost surely, 2196038960 is an apocalyptic number.

196038960 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 196038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344561280).

196038960 is an abundant number, since it is smaller than the sum of its proper divisors (493083600).

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

196038960 is a wasteful number, since it uses less digits than its factorization.

196038960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 196038960 is about 14001.3913594328. The cubic root of 196038960 is about 580.9170589514.

The spelling of 196038960 in words is "one hundred ninety-six million, thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3307 3705 3952 4560 4940 5928 6614 7410 9880 9921 11856 13228 14820 16535 19760 19842 26456 29640 33070 39684 42991 49605 52912 59280 62833 66140 79368 85982 99210 125666 128973 132280 158736 171964 188499 198420 214955 251332 257946 264560 314165 343928 376998 396840 429910 502664 515892 628330 644865 687856 753996 793680 816829 859820 942495 1005328 1031784 1256660 1289730 1507992 1633658 1719640 1884990 2063568 2450487 2513320 2579460 3015984 3267316 3439280 3769980 4084145 4900974 5026640 5158920 6534632 7539960 8168290 9801948 10317840 12252435 13069264 15079920 16336580 19603896 24504870 32673160 39207792 49009740 65346320 98019480 196038960