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196327040 = 2757133371
BaseRepresentation
bin10111011001110…
…11011010000000
3111200102110001212
423230323122000
5400224431130
631251545252
74602516020
oct1354733200
9450373055
10196327040
11a0904458
12558bb228
133189c560
141c107a80
1512380e95
hexbb3b680

196327040 has 128 divisors (see below), whose sum is σ = 577825920. Its totient is φ = 62115840.

The previous prime is 196327039. The next prime is 196327051. The reversal of 196327040 is 40723691.

196327040 is digitally balanced in base 2, because in such base 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 (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 196326988 and 196327006.

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, 56555 + ... + 59925.

It is an arithmetic number, because the mean of its divisors is an integer number (4514265).

Almost surely, 2196327040 is an apocalyptic number.

196327040 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 196327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288912960).

196327040 is an abundant number, since it is smaller than the sum of its proper divisors (381498880).

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

196327040 is a wasteful number, since it uses less digits than its factorization.

196327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 196327040 is about 14011.6751318320. The cubic root of 196327040 is about 581.2014729595.

The spelling of 196327040 in words is "one hundred ninety-six million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3371 3640 4160 4480 5824 6742 7280 8320 11648 13484 14560 16855 23597 26968 29120 33710 43823 47194 53936 58240 67420 87646 94388 107872 117985 134840 175292 188776 215744 219115 235970 269680 306761 350584 377552 431488 438230 471940 539360 613522 701168 755104 876460 943880 1078720 1227044 1402336 1510208 1533805 1752920 1887760 2157440 2454088 2804672 3020416 3067610 3505840 3775520 4908176 5609344 6135220 7011680 7551040 9816352 12270440 14023360 15102080 19632704 24540880 28046720 39265408 49081760 98163520 196327040