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2092000640 = 27511328927
BaseRepresentation
bin111110010110001…
…0110010110000000
312101210110122101012
41330230112112000
513241023010030
6543330500052
7102561466142
oct17454262600
95353418335
102092000640
11983975054
124a4734628
13274549b02
1415bba6c92
15c39d7095
hex7cb16580

2092000640 has 64 divisors (see below), whose sum is σ = 5045621760. Its totient is φ = 829366272.

The previous prime is 2092000633. The next prime is 2092000661. The reversal of 2092000640 is 460002902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57857 + ... + 86783.

It is an arithmetic number, because the mean of its divisors is an integer number (78837840).

Almost surely, 22092000640 is an apocalyptic number.

2092000640 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 2092000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522810880).

2092000640 is an abundant number, since it is smaller than the sum of its proper divisors (2953621120).

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

2092000640 is a wasteful number, since it uses less digits than its factorization.

2092000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29059 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2092000640 is about 45738.3935004281. The cubic root of 2092000640 is about 1278.9510938253.

The spelling of 2092000640 in words is "two billion, ninety-two million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1808 2260 3616 4520 7232 9040 14464 18080 28927 36160 57854 72320 115708 144635 231416 289270 462832 578540 925664 1157080 1851328 2314160 3268751 3702656 4628320 6537502 9256640 13075004 16343755 18513280 26150008 32687510 52300016 65375020 104600032 130750040 209200064 261500080 418400128 523000160 1046000320 2092000640