Search a number
-
+
2074407072 = 25337584011
BaseRepresentation
bin111101110100100…
…1111000010100000
312100120100210112120
41323221033002200
513222022011242
6541501424240
7102256112013
oct17351170240
95316323476
102074407072
11974a48811
1249a86b080
132709c9b0a
1415970737a
15c21ae1ec
hex7ba4f0a0

2074407072 has 48 divisors (see below), whose sum is σ = 5592498912. Its totient is φ = 672779520.

The previous prime is 2074407059. The next prime is 2074407077. The reversal of 2074407072 is 2707044702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20744070722 = 8606329400727226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2074407077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288454 + ... + 295557.

It is an arithmetic number, because the mean of its divisors is an integer number (116510394).

Almost surely, 22074407072 is an apocalyptic number.

It is an amenable number.

2074407072 is an abundant number, since it is smaller than the sum of its proper divisors (3518091840).

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

2074407072 is a wasteful number, since it uses less digits than its factorization.

2074407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584061 (or 584053 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 2074407072 is about 45545.6592004112. The cubic root of 2074407072 is about 1275.3557017561.

The spelling of 2074407072 in words is "two billion, seventy-four million, four hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 584011 1168022 1752033 2336044 3504066 4672088 7008132 9344176 14016264 18688352 21608407 28032528 43216814 56065056 64825221 86433628 129650442 172867256 259300884 345734512 518601768 691469024 1037203536 2074407072