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1400290580 = 2251348711059
BaseRepresentation
bin101001101110110…
…1011110100010100
310121120220010120002
41103131223310110
510331433244310
6350541030432
746462162553
oct12335536424
93546803502
101400290580
11659478047
12330b55418
13194150b10
14d3d89d9a
1582e00da5
hex5376bd14

1400290580 has 48 divisors (see below), whose sum is σ = 3173600640. Its totient is φ = 515922048.

The previous prime is 1400290559. The next prime is 1400290609. The reversal of 1400290580 is 850920041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121091 + ... + 132149.

It is an arithmetic number, because the mean of its divisors is an integer number (66116680).

Almost surely, 21400290580 is an apocalyptic number.

1400290580 is a gapful number since it is divisible by the number (10) 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 1400290580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586800320).

1400290580 is an abundant number, since it is smaller than the sum of its proper divisors (1773310060).

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

1400290580 is a wasteful number, since it uses less digits than its factorization.

1400290580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11568 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1400290580 is about 37420.4567048560. The cubic root of 1400290580 is about 1118.7663340207.

The spelling of 1400290580 in words is "one billion, four hundred million, two hundred ninety thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 487 974 1948 2435 4870 6331 9740 11059 12662 22118 25324 31655 44236 55295 63310 110590 126620 143767 221180 287534 575068 718835 1437670 2875340 5385733 10771466 21542932 26928665 53857330 70014529 107714660 140029058 280058116 350072645 700145290 1400290580