Search a number
-
+
2115838040 = 235317921599
BaseRepresentation
bin111111000011101…
…0010000001011000
312110110022201010212
41332013102001120
513313123304130
6545541430252
7103301220011
oct17607220130
95413281125
102115838040
11996376488
124b070b388
13279474a94
14161010008
15c5b44e95
hex7e1d2058

2115838040 has 64 divisors (see below), whose sum is σ = 4976640000. Its totient is φ = 808629120.

The previous prime is 2115838033. The next prime is 2115838079. The reversal of 2115838040 is 408385112.

It is a super-2 number, since 2×21158380402 = 8953541223022083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2115837988 and 2115838006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87161 + ... + 108759.

It is an arithmetic number, because the mean of its divisors is an integer number (77760000).

Almost surely, 22115838040 is an apocalyptic number.

2115838040 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 2115838040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320000).

2115838040 is an abundant number, since it is smaller than the sum of its proper divisors (2860801960).

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

2115838040 is a wasteful number, since it uses less digits than its factorization.

2115838040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21720 (or 21716 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2115838040 is about 45998.2395315299. The cubic root of 2115838040 is about 1283.7904488791.

The spelling of 2115838040 in words is "two billion, one hundred fifteen million, eight hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2449 3160 4898 9796 12245 19592 21599 24490 43198 48980 86396 97960 107995 172792 215990 431980 669569 863960 1339138 1706321 2678276 3347845 3412642 5356552 6695690 6825284 8531605 13391380 13650568 17063210 26782760 34126420 52895951 68252840 105791902 211583804 264479755 423167608 528959510 1057919020 2115838040