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196432640 = 2851941197
BaseRepresentation
bin10111011010101…
…01001100000000
3111200121210220222
423231111030000
5400241321030
631254122212
74603435625
oct1355251400
9450553828
10196432640
11a0976828
1255950368
1331908641
141c13434c
15123a23e5
hexbb55300

196432640 has 144 divisors (see below), whose sum is σ = 509937120. Its totient is φ = 72253440.

The previous prime is 196432609. The next prime is 196432651. The reversal of 196432640 is 46234691.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 196432640.

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, 997022 + ... + 997218.

It is an arithmetic number, because the mean of its divisors is an integer number (3541230).

Almost surely, 2196432640 is an apocalyptic number.

196432640 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 196432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254968560).

196432640 is an abundant number, since it is smaller than the sum of its proper divisors (313504480).

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

196432640 is a wasteful number, since it uses less digits than its factorization.

196432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 196432640 is about 14015.4429113032. The cubic root of 196432640 is about 581.3056594482.

The spelling of 196432640 in words is "one hundred ninety-six million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 197 205 256 304 320 328 380 394 410 608 640 656 760 779 788 820 985 1216 1280 1312 1520 1558 1576 1640 1970 2432 2624 3040 3116 3152 3280 3743 3895 3940 4864 5248 6080 6232 6304 6560 7486 7790 7880 8077 10496 12160 12464 12608 13120 14972 15580 15760 16154 18715 24320 24928 25216 26240 29944 31160 31520 32308 37430 40385 49856 50432 52480 59888 62320 63040 64616 74860 80770 99712 119776 124640 126080 129232 149720 153463 161540 199424 239552 249280 252160 258464 299440 306926 323080 479104 498560 516928 598880 613852 646160 767315 958208 997120 1033856 1197760 1227704 1292320 1534630 2067712 2395520 2455408 2584640 3069260 4791040 4910816 5169280 6138520 9821632 10338560 12277040 19643264 24554080 39286528 49108160 98216320 196432640