Search a number
-
+
2135337414 = 237376432137
BaseRepresentation
bin111111101000110…
…1010100111000110
312111211000101020220
41333101222213012
513333121244124
6551515405210
7103626032340
oct17721524706
95454011226
102135337414
119a6384671
124b7153806
13280511382
14163848290
15c76e7879
hex7f46a9c6

2135337414 has 64 divisors (see below), whose sum is σ = 5022829056. Its totient is φ = 592406784.

The previous prime is 2135337403. The next prime is 2135337427. The reversal of 2135337414 is 4147335312.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998154 + ... + 1000290.

It is an arithmetic number, because the mean of its divisors is an integer number (78481704).

Almost surely, 22135337414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135337414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511414528).

2135337414 is an abundant number, since it is smaller than the sum of its proper divisors (2887491642).

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

2135337414 is a wasteful number, since it uses less digits than its factorization.

2135337414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829.

The product of its digits is 30240, while the sum is 33.

The square root of 2135337414 is about 46209.7112520734. The cubic root of 2135337414 is about 1287.7221613554.

The spelling of 2135337414 in words is "two billion, one hundred thirty-five million, three hundred thirty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 643 777 1286 1554 1929 2137 3858 4274 4501 6411 9002 12822 13503 14959 23791 27006 29918 44877 47582 71373 79069 89754 142746 158138 166537 237207 333074 474414 499611 553483 999222 1106966 1374091 1660449 2748182 3320898 4122273 8244546 9618637 19237274 28855911 50841367 57711822 101682734 152524101 305048202 355889569 711779138 1067668707 2135337414