Search a number
-
+
2106557720 = 235176746237
BaseRepresentation
bin111110110001111…
…1000010100011000
312102210212012221022
41331203320110120
513303234321340
6545010502012
7103126305461
oct17543702430
95383765838
102106557720
11991107aa3
124a9594908
13277575977
1415dab5d68
15c4e103b5
hex7d8f8518

2106557720 has 64 divisors (see below), whose sum is σ = 5093578080. Its totient is φ = 781203456.

The previous prime is 2106557701. The next prime is 2106557729. The reversal of 2106557720 is 277556012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106557729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22442 + ... + 68678.

Almost surely, 22106557720 is an apocalyptic number.

2106557720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106557720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546789040).

2106557720 is an abundant number, since it is smaller than the sum of its proper divisors (2987020360).

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

2106557720 is a wasteful number, since it uses less digits than its factorization.

2106557720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46332 (or 46328 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 2106557720 is about 45897.2517695777. The cubic root of 2106557720 is about 1281.9107449119.

The spelling of 2106557720 in words is "two billion, one hundred six million, five hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 4556 5695 9112 11390 22780 45560 46237 92474 184948 231185 369896 462370 786029 924740 1572058 1849480 3097879 3144116 3930145 6195758 6288232 7860290 12391516 15489395 15720580 24783032 30978790 31441160 52663943 61957580 105327886 123915160 210655772 263319715 421311544 526639430 1053278860 2106557720