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880130400 = 25352366721
BaseRepresentation
bin110100011101011…
…011100101100000
32021100010020221020
4310131123211200
53300303133100
6223200125440
730544661562
oct6435334540
92240106836
10880130400
114118a0aa6
12206906880
1311045a726
1484c67332
15524045a0
hex3475b960

880130400 has 72 divisors (see below), whose sum is σ = 2864832264. Its totient is φ = 234700800.

The previous prime is 880130371. The next prime is 880130401. The reversal of 880130400 is 4031088.

880130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880130401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180961 + ... + 185760.

It is an arithmetic number, because the mean of its divisors is an integer number (39789337).

Almost surely, 2880130400 is an apocalyptic number.

880130400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880130400 is an abundant number, since it is smaller than the sum of its proper divisors (1984701864).

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

880130400 is a wasteful number, since it uses less digits than its factorization.

880130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366744 (or 366731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 880130400 is about 29666.9917585184. The cubic root of 880130400 is about 958.3313024952.

Adding to 880130400 its reverse (4031088), we get a palindrome (884161488).

The spelling of 880130400 in words is "eight hundred eighty million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 366721 733442 1100163 1466884 1833605 2200326 2933768 3667210 4400652 5500815 5867536 7334420 8801304 9168025 11001630 11735072 14668840 17602608 18336050 22003260 27504075 29337680 35205216 36672100 44006520 55008150 58675360 73344200 88013040 110016300 146688400 176026080 220032600 293376800 440065200 880130400