Search a number
-
+
2074237920 = 253251440443
BaseRepresentation
bin111101110100010…
…0101101111100000
312100120001012111200
41323220211233200
513222001103140
6541454041200
7102254505606
oct17350455740
95316035450
102074237920
11974942717
1249a7a9200
1327096ab21
141596a1876
15c2179030
hex7ba25be0

2074237920 has 72 divisors (see below), whose sum is σ = 7078341816. Its totient is φ = 553129728.

The previous prime is 2074237901. The next prime is 2074237933. The reversal of 2074237920 is 297324702.

2074237920 is a `hidden beast` number, since 207 + 423 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718782 + ... + 721661.

It is an arithmetic number, because the mean of its divisors is an integer number (98310303).

Almost surely, 22074237920 is an apocalyptic number.

2074237920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2074237920 is an abundant number, since it is smaller than the sum of its proper divisors (5004103896).

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

2074237920 is a wasteful number, since it uses less digits than its factorization.

2074237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440464 (or 1440453 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2074237920 is about 45543.8022128149. The cubic root of 2074237920 is about 1275.3210356524.

The spelling of 2074237920 in words is "two billion, seventy-four million, two hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1440443 2880886 4321329 5761772 7202215 8642658 11523544 12963987 14404430 17285316 21606645 23047088 25927974 28808860 34570632 43213290 46094176 51855948 57617720 64819935 69141264 86426580 103711896 115235440 129639870 138282528 172853160 207423792 230470880 259279740 345706320 414847584 518559480 691412640 1037118960 2074237920