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196389120 = 2835199257
BaseRepresentation
bin10111011010010…
…10100100000000
3111200112121020010
423231022210000
5400233422440
631253144520
74603165014
oct1355124400
9450477203
10196389120
11a0947064
125592b140
13318c18a5
141c122544
1512394580
hexbb4a900

196389120 has 144 divisors (see below), whose sum is σ = 632822400. Its totient is φ = 51904512.

The previous prime is 196389113. The next prime is 196389133. The reversal of 196389120 is 21983691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764032 + ... + 764288.

It is an arithmetic number, because the mean of its divisors is an integer number (4394600).

Almost surely, 2196389120 is an apocalyptic number.

196389120 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 196389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316411200).

196389120 is an abundant number, since it is smaller than the sum of its proper divisors (436433280).

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

196389120 is a wasteful number, since it uses less digits than its factorization.

196389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 196389120 is about 14013.8902521748. The cubic root of 196389120 is about 581.2627265106.

The spelling of 196389120 in words is "one hundred ninety-six million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 256 257 320 384 398 480 514 597 640 768 771 796 960 995 1028 1194 1280 1285 1542 1592 1920 1990 2056 2388 2570 2985 3084 3184 3840 3855 3980 4112 4776 5140 5970 6168 6368 7710 7960 8224 9552 10280 11940 12336 12736 15420 15920 16448 19104 20560 23880 24672 25472 30840 31840 32896 38208 41120 47760 49344 50944 51143 61680 63680 65792 76416 82240 95520 98688 102286 123360 127360 152832 153429 164480 191040 197376 204572 246720 254720 255715 306858 328960 382080 409144 493440 511430 613716 764160 767145 818288 986880 1022860 1227432 1534290 1636576 2045720 2454864 3068580 3273152 4091440 4909728 6137160 6546304 8182880 9819456 12274320 13092608 16365760 19638912 24548640 32731520 39277824 49097280 65463040 98194560 196389120