Search a number
-
+
880020640 = 25517323537
BaseRepresentation
bin110100011101000…
…000110010100000
32021022220200101001
4310131000302200
53300241130030
6223153521344
730544023562
oct6435006240
92238820331
10880020640
11411826594
12206873254
1311041c795
1484c39332
15523d1cca
hex34740ca0

880020640 has 48 divisors (see below), whose sum is σ = 2201352552. Its totient is φ = 331300864.

The previous prime is 880020637. The next prime is 880020677. The reversal of 880020640 is 46020088.

It can be written as a sum of positive squares in 4 ways, for example, as 647397136 + 232623504 = 25444^2 + 15252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 880020599 and 880020608.

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, 159049 + ... + 164488.

Almost surely, 2880020640 is an apocalyptic number.

880020640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880020640 is an abundant number, since it is smaller than the sum of its proper divisors (1321331912).

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

880020640 is a wasteful number, since it uses less digits than its factorization.

880020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323569 (or 323561 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 880020640 is about 29665.1418334718. The cubic root of 880020640 is about 958.2914633923.

The spelling of 880020640 in words is "eight hundred eighty million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 323537 647074 1294148 1617685 2588296 3235370 5176592 5500129 6470740 10353184 11000258 12941480 22000516 25882960 27500645 44001032 51765920 55001290 88002064 110002580 176004128 220005160 440010320 880020640