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196974336 = 28313109181
BaseRepresentation
bin10111011110110…
…01011100000000
3111201122022222210
423233121130000
5400411134321
631313502120
74611153126
oct1357313400
9451568883
10196974336
11a1206809
1255b71940
1331a68080
141c235916
151245cb76
hexbbd9700

196974336 has 144 divisors (see below), whose sum is σ = 572892320. Its totient is φ = 59719680.

The previous prime is 196974331. The next prime is 196974389. The reversal of 196974336 is 633479691.

196974336 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196974331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088166 + ... + 1088346.

Almost surely, 2196974336 is an apocalyptic number.

196974336 is a gapful number since it is divisible by the number (16) 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 196974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286446160).

196974336 is an abundant number, since it is smaller than the sum of its proper divisors (375917984).

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

196974336 is a wasteful number, since it uses less digits than its factorization.

196974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 196974336 is about 14034.7545756953. The cubic root of 196974336 is about 581.8395183463.

The spelling of 196974336 in words is "one hundred ninety-six million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 181 192 208 218 256 312 327 362 384 416 436 543 624 654 724 768 832 872 1086 1248 1308 1417 1448 1664 1744 2172 2353 2496 2616 2834 2896 3328 3488 4251 4344 4706 4992 5232 5668 5792 6976 7059 8502 8688 9412 9984 10464 11336 11584 13952 14118 17004 17376 18824 19729 20928 22672 23168 27904 28236 34008 34752 37648 39458 41856 45344 46336 56472 59187 68016 69504 75296 78916 83712 90688 112944 118374 136032 139008 150592 157832 181376 225888 236748 256477 272064 301184 315664 362752 451776 473496 512954 544128 602368 631328 769431 903552 946992 1025908 1088256 1262656 1538862 1807104 1893984 2051816 2525312 3077724 3787968 4103632 5050624 6155448 7575936 8207264 12310896 15151872 16414528 24621792 32829056 49243584 65658112 98487168 196974336