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4099746960 = 24345632677
BaseRepresentation
bin1111010001011101…
…0010110010010000
3101120201101201120000
43310113102302100
531344013400320
61514451450000
7203411163021
oct36427226220
911521351500
104099746960
111814222631
12964bb6900
135044a6c9a
142ac6bac48
1518edc9c90
hexf45d2c90

4099746960 has 100 divisors (see below), whose sum is σ = 14239051068. Its totient is φ = 1093264128.

The previous prime is 4099746953. The next prime is 4099746991. The reversal of 4099746960 is 696479904.

It can be written as a sum of positive squares in 2 ways, for example, as 562828176 + 3536918784 = 23724^2 + 59472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4099746897 and 4099746906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309859 + ... + 322818.

Almost surely, 24099746960 is an apocalyptic number.

4099746960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4099746960 is an abundant number, since it is smaller than the sum of its proper divisors (10139304108).

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

4099746960 is a wasteful number, since it uses less digits than its factorization.

4099746960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632702 (or 632687 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 4099746960 is about 64029.2664334053. The cubic root of 4099746960 is about 1600.4877367221.

The spelling of 4099746960 in words is "four billion, ninety-nine million, seven hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 632677 1265354 1898031 2530708 3163385 3796062 5061416 5694093 6326770 7592124 9490155 10122832 11388186 12653540 15184248 17082279 18980310 22776372 25307080 28470465 30368496 34164558 37960620 45552744 50614160 51246837 56940930 68329116 75921240 85411395 91105488 102493674 113881860 136658232 151842480 170822790 204987348 227763720 256234185 273316464 341645580 409974696 455527440 512468370 683291160 819949392 1024936740 1366582320 2049873480 4099746960