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196408640 = 26559101103
BaseRepresentation
bin10111011010011…
…11010101000000
3111200120121000002
423231033111000
5400240034030
631253415132
74603305641
oct1355172500
9450517002
10196408640
11a095a79a
125593a4a8
13318ca73c
141c1296c8
151239a245
hexbb4f540

196408640 has 112 divisors (see below), whose sum is σ = 484997760. Its totient is φ = 75724800.

The previous prime is 196408637. The next prime is 196408657. The reversal of 196408640 is 46804691.

196408640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 196408594 and 196408603.

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, 1906829 + ... + 1906931.

Almost surely, 2196408640 is an apocalyptic number.

196408640 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 196408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

196408640 is an abundant number, since it is smaller than the sum of its proper divisors (288589120).

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

196408640 is a wasteful number, since it uses less digits than its factorization.

196408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 196408640 is about 14014.5866867346. The cubic root of 196408640 is about 581.2819839802.

The spelling of 196408640 in words is "one hundred ninety-six million, four hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 101 103 118 160 202 206 236 295 320 404 412 472 505 515 590 808 824 944 1010 1030 1180 1616 1648 1888 2020 2060 2360 3232 3296 3776 4040 4120 4720 5959 6077 6464 6592 8080 8240 9440 10403 11918 12154 16160 16480 18880 20806 23836 24308 29795 30385 32320 32960 41612 47672 48616 52015 59590 60770 83224 95344 97232 104030 119180 121540 166448 190688 194464 208060 238360 243080 332896 381376 388928 416120 476720 486160 613777 665792 832240 953440 972320 1227554 1664480 1906880 1944640 2455108 3068885 3328960 4910216 6137770 9820432 12275540 19640864 24551080 39281728 49102160 98204320 196408640