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196359984 = 24331947509
BaseRepresentation
bin10111011010000…
…11011100110000
3111200111010021000
423231003130300
5400232004414
631252402000
74603014042
oct1355033460
9450433230
10196359984
11a0927187
1255916300
13318b1552
141c115a92
151238ab09
hexbb43730

196359984 has 160 divisors (see below), whose sum is σ = 607104000. Its totient is φ = 60569856.

The previous prime is 196359967. The next prime is 196359991. The reversal of 196359984 is 489953691.

196359984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 196359984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385522 + ... + 386030.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2196359984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196359984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

196359984 is an abundant number, since it is smaller than the sum of its proper divisors (410744016).

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

196359984 is a wasteful number, since it uses less digits than its factorization.

196359984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 196359984 is about 14012.8506735782. The cubic root of 196359984 is about 581.2339799955.

The spelling of 196359984 in words is "one hundred ninety-six million, three hundred fifty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 47 48 54 57 72 76 94 108 114 141 144 152 171 188 216 228 282 304 342 376 423 432 456 509 513 564 684 752 846 893 912 1018 1026 1128 1269 1368 1527 1692 1786 2036 2052 2256 2538 2679 2736 3054 3384 3572 4072 4104 4581 5076 5358 6108 6768 7144 8037 8144 8208 9162 9671 10152 10716 12216 13743 14288 16074 18324 19342 20304 21432 23923 24111 24432 27486 29013 32148 36648 38684 42864 47846 48222 54972 58026 64296 71769 73296 77368 87039 95692 96444 109944 116052 128592 143538 154736 174078 191384 192888 215307 219888 232104 261117 287076 348156 382768 385776 430614 454537 464208 522234 574152 645921 696312 861228 909074 1044468 1148304 1291842 1363611 1392624 1722456 1818148 2088936 2583684 2727222 3444912 3636296 4090833 4177872 5167368 5454444 7272592 8181666 10334736 10908888 12272499 16363332 21817776 24544998 32726664 49089996 65453328 98179992 196359984