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2120654412 = 223371347797
BaseRepresentation
bin111111001100110…
…1001111001001100
312110210101101222000
41332121221321030
513320341420122
6550232552300
7103360156632
oct17631517114
95423341860
102120654412
11999066058
124b2252690
1327a4700c6
14161905352
15c62970ac
hex7e669e4c

2120654412 has 96 divisors (see below), whose sum is σ = 5598512640. Its totient is φ = 694048320.

The previous prime is 2120654401. The next prime is 2120654413. The reversal of 2120654412 is 2144560212.

2120654412 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 654 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2120654413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2660398 + ... + 2661194.

It is an arithmetic number, because the mean of its divisors is an integer number (58317840).

Almost surely, 22120654412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120654412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799256320).

2120654412 is an abundant number, since it is smaller than the sum of its proper divisors (3477858228).

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

2120654412 is a wasteful number, since it uses less digits than its factorization.

2120654412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2120654412 is about 46050.5636447590. The cubic root of 2120654412 is about 1284.7638262480.

The spelling of 2120654412 in words is "two billion, one hundred twenty million, six hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 347 426 639 694 797 852 1041 1278 1388 1594 1917 2082 2391 2556 3123 3188 3834 4164 4782 6246 7173 7668 9369 9564 12492 14346 18738 21519 24637 28692 37476 43038 49274 56587 73911 86076 98548 113174 147822 169761 221733 226348 276559 295644 339522 443466 509283 553118 665199 679044 829677 886932 1018566 1106236 1330398 1527849 1659354 2037132 2489031 2660796 3055698 3318708 4978062 6111396 7467093 9956124 14934186 19635689 29868372 39271378 58907067 78542756 117814134 176721201 235628268 353442402 530163603 706884804 1060327206 2120654412