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1490076480 = 26351977879
BaseRepresentation
bin101100011010000…
…1100001101000000
310211211211201122210
41120310030031000
511022424421410
6403505302120
751632304204
oct13064141500
93754751583
101490076480
116a5122572
12357034940
131a9929479
14101c7cb04
158ac39220
hex58d0c340

1490076480 has 112 divisors (see below), whose sum is σ = 4755611520. Its totient is φ = 395286528.

The previous prime is 1490076457. The next prime is 1490076493. The reversal of 1490076480 is 846700941.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 185181 + ... + 193059.

Almost surely, 21490076480 is an apocalyptic number.

1490076480 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 1490076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377805760).

1490076480 is an abundant number, since it is smaller than the sum of its proper divisors (3265535040).

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

1490076480 is a wasteful number, since it uses less digits than its factorization.

1490076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1490076480 is about 38601.5087788029. The cubic root of 1490076480 is about 1142.1843008557.

The spelling of 1490076480 in words is "one billion, four hundred ninety million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 788 960 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7879 7880 9456 11820 12608 15758 15760 18912 23637 23640 31516 31520 37824 39395 47274 47280 63032 63040 78790 94548 94560 118185 126064 157580 189096 189120 236370 252128 315160 378192 472740 504256 630320 756384 945480 1260640 1512768 1552163 1890960 2521280 3104326 3781920 4656489 6208652 7563840 7760815 9312978 12417304 15521630 18625956 23282445 24834608 31043260 37251912 46564890 49669216 62086520 74503824 93129780 99338432 124173040 149007648 186259560 248346080 298015296 372519120 496692160 745038240 1490076480