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196696320 = 2835181283
BaseRepresentation
bin10111011100101…
…01100100000000
3111201010012121220
423232111210000
5400323240240
631303515040
74605614442
oct1356254400
9451105556
10196696320
11a1036947
1255a58a80
133199b672
141c1a2492
15124055d0
hexbb95900

196696320 has 144 divisors (see below), whose sum is σ = 633901632. Its totient is φ = 51978240.

The previous prime is 196696301. The next prime is 196696349. The reversal of 196696320 is 23696691.

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, 694899 + ... + 695181.

Almost surely, 2196696320 is an apocalyptic number.

196696320 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 196696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316950816).

196696320 is an abundant number, since it is smaller than the sum of its proper divisors (437205312).

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

196696320 is a wasteful number, since it uses less digits than its factorization.

196696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 196696320 is about 14024.8465232244. The cubic root of 196696320 is about 581.5656470334.

The spelling of 196696320 in words is "one hundred ninety-six million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 256 283 320 362 384 480 543 566 640 724 768 849 905 960 1086 1132 1280 1415 1448 1698 1810 1920 2172 2264 2715 2830 2896 3396 3620 3840 4245 4344 4528 5430 5660 5792 6792 7240 8490 8688 9056 10860 11320 11584 13584 14480 16980 17376 18112 21720 22640 23168 27168 28960 33960 34752 36224 43440 45280 46336 51223 54336 57920 67920 69504 72448 86880 90560 102446 108672 115840 135840 139008 153669 173760 181120 204892 217344 231680 256115 271680 307338 347520 362240 409784 512230 543360 614676 695040 768345 819568 1024460 1086720 1229352 1536690 1639136 2048920 2458704 3073380 3278272 4097840 4917408 6146760 6556544 8195680 9834816 12293520 13113088 16391360 19669632 24587040 32782720 39339264 49174080 65565440 98348160 196696320