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2164136240 = 245723168023
BaseRepresentation
bin1000000011111110…
…0001100100110000
312120211012111211002
42000333201210300
513413004324430
6554424541132
7104425566050
oct20077414460
95524174732
102164136240
11a10664652
125049217a8
132864856b6
141675c3560
15c9ed5845
hex80fe1930

2164136240 has 80 divisors (see below), whose sum is σ = 6000473088. Its totient is φ = 709724928.

The previous prime is 2164136239. The next prime is 2164136267. The reversal of 2164136240 is 426314612.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71132 + ... + 96891.

Almost surely, 22164136240 is an apocalyptic number.

2164136240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164136240 is an abundant number, since it is smaller than the sum of its proper divisors (3836336848).

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

2164136240 is a wasteful number, since it uses less digits than its factorization.

2164136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168066 (or 168060 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2164136240 is about 46520.2777291796. The cubic root of 2164136240 is about 1293.4854044684.

The spelling of 2164136240 in words is "two billion, one hundred sixty-four million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 168023 336046 672092 840115 1176161 1344184 1680230 2352322 2688368 3360460 3864529 4704644 5880805 6720920 7729058 9409288 11761610 13441840 15458116 18818576 19322645 23523220 27051703 30916232 38645290 47046440 54103406 61832464 77290580 94092880 108206812 135258515 154581160 216413624 270517030 309162320 432827248 541034060 1082068120 2164136240