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2148955360 = 25581116561
BaseRepresentation
bin1000000000010110…
…0111010011100000
312112202122020120021
42000011213103200
513400113032420
6553123323224
7104152550656
oct20005472340
95482566507
102148955360
11a03035a72
124bb820514
1328329b926
14165590dd6
15c89d77aa
hex801674e0

2148955360 has 48 divisors (see below), whose sum is σ = 5083474032. Its totient is φ = 858470400.

The previous prime is 2148955351. The next prime is 2148955373. The reversal of 2148955360 is 635598412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121480 + ... + 138040.

It is an arithmetic number, because the mean of its divisors is an integer number (105905709).

Almost surely, 22148955360 is an apocalyptic number.

2148955360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148955360 is an abundant number, since it is smaller than the sum of its proper divisors (2934518672).

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

2148955360 is a wasteful number, since it uses less digits than its factorization.

2148955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17387 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 2148955360 is about 46356.8264660125. The cubic root of 2148955360 is about 1290.4538114496.

The spelling of 2148955360 in words is "two billion, one hundred forty-eight million, nine hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 811 1622 3244 4055 6488 8110 12976 16220 16561 25952 32440 33122 64880 66244 82805 129760 132488 165610 264976 331220 529952 662440 1324880 2649760 13430971 26861942 53723884 67154855 107447768 134309710 214895536 268619420 429791072 537238840 1074477680 2148955360