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980269056 = 21132134091
BaseRepresentation
bin111010011011011…
…011100000000000
32112022112211100100
4322123123200000
54001422102211
6241134322400
733202102164
oct7233334000
92468484310
10980269056
11463377718
12234359400
1312811c380
1494292ca4
155b0d5156
hex3a6db800

980269056 has 144 divisors (see below), whose sum is σ = 3049726680. Its totient is φ = 301547520.

The previous prime is 980269007. The next prime is 980269067. The reversal of 980269056 is 650962089.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9802690562 = 1921854844302262272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237571 + ... + 241661.

Almost surely, 2980269056 is an apocalyptic number.

980269056 is a gapful number since it is divisible by the number (96) 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 980269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524863340).

980269056 is an abundant number, since it is smaller than the sum of its proper divisors (2069457624).

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

980269056 is a wasteful number, since it uses less digits than its factorization.

980269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 980269056 is about 31309.2487294090. The cubic root of 980269056 is about 993.3792814904.

The spelling of 980269056 in words is "nine hundred eighty million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4091 4608 4992 6144 6656 7488 8182 9216 9984 12273 13312 14976 16364 18432 19968 24546 26624 29952 32728 36819 39936 49092 53183 59904 65456 73638 79872 98184 106366 119808 130912 147276 159549 196368 212732 239616 261824 294552 319098 392736 425464 478647 523648 589104 638196 785472 850928 957294 1047296 1178208 1276392 1570944 1701856 1914588 2094592 2356416 2552784 3141888 3403712 3829176 4189184 4712832 5105568 6283776 6807424 7658352 8378368 9425664 10211136 12567552 13614848 15316704 18851328 20422272 25135104 27229696 30633408 37702656 40844544 54459392 61266816 75405312 81689088 108918784 122533632 163378176 245067264 326756352 490134528 980269056