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196913760 = 25352771481
BaseRepresentation
bin10111011110010…
…10101001100000
3111201112020220020
423233022221200
5400402220020
631312313440
74610511411
oct1357125140
9451466806
10196913760
11a117524a
1255b42880
1331a46624
141c21b808
1512449c40
hexbbcaa60

196913760 has 96 divisors (see below), whose sum is σ = 622937952. Its totient is φ = 52285440.

The previous prime is 196913753. The next prime is 196913779. The reversal of 196913760 is 67319691.

196913760 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

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, 132220 + ... + 133700.

It is an arithmetic number, because the mean of its divisors is an integer number (6488937).

Almost surely, 2196913760 is an apocalyptic number.

196913760 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 196913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311468976).

196913760 is an abundant number, since it is smaller than the sum of its proper divisors (426024192).

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

196913760 is a wasteful number, since it uses less digits than its factorization.

196913760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 196913760 is about 14032.5963385255. The cubic root of 196913760 is about 581.7798673870.

The spelling of 196913760 in words is "one hundred ninety-six million, nine hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1481 1662 2216 2770 2962 3324 4155 4432 4443 5540 5924 6648 7405 8310 8864 8886 11080 11848 13296 14810 16620 17772 22160 22215 23696 26592 29620 33240 35544 44320 44430 47392 59240 66480 71088 88860 118480 132960 142176 177720 236960 355440 410237 710880 820474 1230711 1640948 2051185 2461422 3281896 4102370 4922844 6153555 6563792 8204740 9845688 12307110 13127584 16409480 19691376 24614220 32818960 39382752 49228440 65637920 98456880 196913760