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4196000640 = 273513168109
BaseRepresentation
bin1111101000011001…
…1110001110000000
3101211102111220210010
43322012132032000
532043134010030
61532210504520
7205660263006
oct37206361600
911742456703
104196000640
111863595427
12991295140
1351b408520
142bb3b4a76
1519858e6b0
hexfa19e380

4196000640 has 128 divisors (see below), whose sum is σ = 14403664800. Its totient is φ = 1032855552.

The previous prime is 4196000621. The next prime is 4196000693. The reversal of 4196000640 is 460006914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4196000598 and 4196000607.

It is a congruent number.

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, 59095 + ... + 109014.

Almost surely, 24196000640 is an apocalyptic number.

4196000640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4196000640 is an abundant number, since it is smaller than the sum of its proper divisors (10207664160).

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

4196000640 is a wasteful number, since it uses less digits than its factorization.

4196000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168144 (or 168132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4196000640 is about 64776.5439028666. The cubic root of 4196000640 is about 1612.9163657693.

The spelling of 4196000640 in words is "four billion, one hundred ninety-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 168109 336218 504327 672436 840545 1008654 1344872 1681090 2017308 2185417 2521635 2689744 3362180 4034616 4370834 5043270 5379488 6556251 6724360 8069232 8741668 10086540 10758976 10927085 13112502 13448720 16138464 17483336 20173080 21517952 21854170 26225004 26897440 32276928 32781255 34966672 40346160 43708340 52450008 53794880 64553856 65562510 69933344 80692320 87416680 104900016 107589760 131125020 139866688 161384640 174833360 209800032 262250040 279733376 322769280 349666720 419600064 524500080 699333440 839200128 1049000160 1398666880 2098000320 4196000640