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914140900 = 2252291013121
BaseRepresentation
bin110110011111001…
…010111011100100
32100201010011120101
4312133022323210
53333010002100
6230413113444
731440032551
oct6637127344
92321104511
10914140900
1142a010652
12216188884
13117507c9a
148959ba28
15553c186a
hex367caee4

914140900 has 72 divisors (see below), whose sum is σ = 2073070440. Its totient is φ = 349440000.

The previous prime is 914140897. The next prime is 914140921. The reversal of 914140900 is 9041419.

It can be written as a sum of positive squares in 12 ways, for example, as 299497636 + 614643264 = 17306^2 + 24792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291340 + ... + 294460.

It is an arithmetic number, because the mean of its divisors is an integer number (28792645).

Almost surely, 2914140900 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 914140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036535220).

914140900 is an abundant number, since it is smaller than the sum of its proper divisors (1158929540).

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

914140900 is a wasteful number, since it uses less digits than its factorization.

914140900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 914140900 is about 30234.7631047442. The cubic root of 914140900 is about 970.5197554595.

The spelling of 914140900 in words is "nine hundred fourteen million, one hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 145 202 290 404 505 580 725 1010 1450 2020 2525 2900 2929 3121 5050 5858 6242 10100 11716 12484 14645 15605 29290 31210 58580 62420 73225 78025 90509 146450 156050 181018 292900 312100 315221 362036 452545 630442 905090 1260884 1576105 1810180 2262725 3152210 4525450 6304420 7880525 9050900 9141409 15761050 18282818 31522100 36565636 45707045 91414090 182828180 228535225 457070450 914140900