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980517312 = 2634732591
BaseRepresentation
bin111010011100011…
…000000111000000
32112100000102220000
4322130120013000
54002003023222
6241143520000
733204155025
oct7234300700
92470012800
10980517312
11463527195
12234459000
131281a8378
149431954c
155b1339ac
hex3a7181c0

980517312 has 140 divisors (see below), whose sum is σ = 2947513536. Its totient is φ = 322237440.

The previous prime is 980517271. The next prime is 980517323. The reversal of 980517312 is 213715089.

It is a super-2 number, since 2×9805173122 = 1922828398263410688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 377137 + ... + 379727.

Almost surely, 2980517312 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 980517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473756768).

980517312 is an abundant number, since it is smaller than the sum of its proper divisors (1966996224).

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

980517312 is a wasteful number, since it uses less digits than its factorization.

980517312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 980517312 is about 31313.2130577493. The cubic root of 980517312 is about 993.4631331465.

The spelling of 980517312 in words is "nine hundred eighty million, five hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 324 432 438 576 584 648 657 864 876 1168 1296 1314 1728 1752 1971 2336 2591 2592 2628 3504 3942 4672 5182 5184 5256 5913 7008 7773 7884 10364 10512 11826 14016 15546 15768 20728 21024 23319 23652 31092 31536 41456 42048 46638 47304 62184 63072 69957 82912 93276 94608 124368 126144 139914 165824 186552 189143 189216 209871 248736 279828 373104 378286 378432 419742 497472 559656 567429 746208 756572 839484 1119312 1134858 1492416 1513144 1678968 1702287 2238624 2269716 3026288 3357936 3404574 4477248 4539432 5106861 6052576 6715872 6809148 9078864 10213722 12105152 13431744 13618296 15320583 18157728 20427444 27236592 30641166 36315456 40854888 54473184 61282332 81709776 108946368 122564664 163419552 245129328 326839104 490258656 980517312