[go: up one dir, main page]

Search a number
-
+
2146641660 = 2232519627673
BaseRepresentation
bin111111111110011…
…0010011011111100
312112121021200202200
41333330302123330
513344020013120
6553001551500
7104124103332
oct17774623374
95477250680
102146641660
11a017a5719
124baaa5590
1328296b787
1416514bb52
15c86cbe90
hex7ff326fc

2146641660 has 72 divisors (see below), whose sum is σ = 6854200080. Its totient is φ = 542308608.

The previous prime is 2146641647. The next prime is 2146641661. The reversal of 2146641660 is 661466412.

2146641660 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 641 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146641661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310417 + ... + 317256.

Almost surely, 22146641660 is an apocalyptic number.

2146641660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146641660 is an abundant number, since it is smaller than the sum of its proper divisors (4707558420).

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

2146641660 is a wasteful number, since it uses less digits than its factorization.

2146641660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627707 (or 627702 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2146641660 is about 46331.8644131660. The cubic root of 2146641660 is about 1289.9905173271.

The spelling of 2146641660 in words is "two billion, one hundred forty-six million, six hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 627673 1255346 1883019 2510692 3138365 3766038 5649057 6276730 7532076 9415095 11298114 11925787 12553460 18830190 22596228 23851574 28245285 35777361 37660380 47703148 56490570 59628935 71554722 107332083 112981140 119257870 143109444 178886805 214664166 238515740 357773610 429328332 536660415 715547220 1073320830 2146641660