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196346920 = 23573111301
BaseRepresentation
bin10111011010000…
…00010000101000
3111200110110100011
423231000100220
5400231100140
631252221304
74602631000
oct1355002050
9450413304
10196346920
11a0918390
125590a834
13318a8613
141c111000
1512386cea
hexbb40428

196346920 has 128 divisors (see below), whose sum is σ = 562464000. Its totient is φ = 61152000.

The previous prime is 196346863. The next prime is 196346939. The reversal of 196346920 is 29643691.

It is a super-2 number, since 2×1963469202 = 77104225986972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150270 + ... + 151570.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2196346920 is an apocalyptic number.

196346920 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 196346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

196346920 is an abundant number, since it is smaller than the sum of its proper divisors (366117080).

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

196346920 is a wasteful number, since it uses less digits than its factorization.

196346920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 196346920 is about 14012.3845222717. The cubic root of 196346920 is about 581.2210897094.

The spelling of 196346920 in words is "one hundred ninety-six million, three hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 343 385 392 440 490 539 616 686 770 980 1078 1301 1372 1540 1715 1960 2156 2602 2695 2744 3080 3430 3773 4312 5204 5390 6505 6860 7546 9107 10408 10780 13010 13720 14311 15092 18214 18865 21560 26020 28622 30184 36428 37730 45535 52040 57244 63749 71555 72856 75460 91070 100177 114488 127498 143110 150920 182140 200354 254996 286220 318745 364280 400708 446243 500885 509992 572440 637490 701239 801416 892486 1001770 1274980 1402478 1784972 2003540 2231215 2549960 2804956 3506195 3569944 4007080 4462430 4908673 5609912 7012390 8924860 9817346 14024780 17849720 19634692 24543365 28049560 39269384 49086730 98173460 196346920