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980688768 = 27324110597
BaseRepresentation
bin111010011101000…
…001111110000000
32112100100011002020
4322131001332000
54002024020033
6241151321440
733205500633
oct7235017600
92470304066
10980688768
11463633a94
12234520280
13128238417
1494361c1a
155b1696b3
hex3a741f80

980688768 has 64 divisors (see below), whose sum is σ = 2616010320. Its totient is φ = 325509120.

The previous prime is 980688749. The next prime is 980688769. The reversal of 980688768 is 867886089.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980688769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87246 + ... + 97842.

Almost surely, 2980688768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308005160).

980688768 is an abundant number, since it is smaller than the sum of its proper divisors (1635321552).

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

980688768 is a wasteful number, since it uses less digits than its factorization.

980688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The square root of 980688768 is about 31315.9506960910. The cubic root of 980688768 is about 993.5210363525.

The spelling of 980688768 in words is "nine hundred eighty million, six hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 723 964 1446 1928 2892 3856 5784 7712 10597 11568 15424 21194 23136 30848 31791 42388 46272 63582 84776 92544 127164 169552 254328 339104 508656 678208 1017312 1356416 2034624 2553877 4069248 5107754 7661631 10215508 15323262 20431016 30646524 40862032 61293048 81724064 122586096 163448128 245172192 326896256 490344384 980688768