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980030976 = 2936789107
BaseRepresentation
bin111010011010100…
…001011000000000
32112022002201202120
4322122201120000
54001341442401
6241125244240
733200061111
oct7232413000
92468081676
10980030976
11463224861
12234263680
13128067bb2
1494230208
155b089836
hex3a6a1600

980030976 has 160 divisors (see below), whose sum is σ = 2704648320. Its totient is φ = 315211776.

The previous prime is 980030971. The next prime is 980030999. The reversal of 980030976 is 679030089.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980030971) by changing a digit.

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, 9159115 + ... + 9159221.

It is an arithmetic number, because the mean of its divisors is an integer number (16904052).

Almost surely, 2980030976 is an apocalyptic number.

980030976 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 980030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352324160).

980030976 is an abundant number, since it is smaller than the sum of its proper divisors (1724617344).

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

980030976 is a wasteful number, since it uses less digits than its factorization.

980030976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 980030976 is about 31305.4464270996. The cubic root of 980030976 is about 993.2988536095.

The spelling of 980030976 in words is "nine hundred eighty million, thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 89 96 107 128 134 178 192 201 214 256 267 268 321 356 384 402 428 512 534 536 642 712 768 804 856 1068 1072 1284 1424 1536 1608 1712 2136 2144 2568 2848 3216 3424 4272 4288 5136 5696 5963 6432 6848 7169 8544 8576 9523 10272 11392 11926 12864 13696 14338 17088 17152 17889 19046 20544 21507 22784 23852 25728 27392 28569 28676 34176 34304 35778 38092 41088 43014 45568 47704 51456 54784 57138 57352 68352 71556 76184 82176 86028 95408 102912 114276 114704 136704 143112 152368 164352 172056 190816 228552 229408 286224 304736 344112 381632 457104 458816 572448 609472 638041 688224 763264 914208 917632 1144896 1218944 1276082 1376448 1526528 1828416 1835264 1914123 2289792 2437888 2552164 2752896 3053056 3656832 3670528 3828246 4579584 4875776 5104328 5505792 7313664 7656492 9159168 10208656 11011584 14627328 15312984 20417312 30625968 40834624 61251936 81669248 122503872 163338496 245007744 326676992 490015488 980030976