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980900388 = 223313312727
BaseRepresentation
bin111010011101110…
…101101000100100
32112100201220101000
4322131311220210
54002102303023
6241200033300
733210341616
oct7235655044
92470656330
10980900388
11463768a86
12234602830
131282b0840
14943b8db6
155b1ac243
hex3a775a24

980900388 has 144 divisors (see below), whose sum is σ = 2833783680. Its totient is φ = 291677760.

The previous prime is 980900353. The next prime is 980900407. The reversal of 980900388 is 883009089.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348881 + ... + 1349607.

Almost surely, 2980900388 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 980900388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416891840).

980900388 is an abundant number, since it is smaller than the sum of its proper divisors (1852883292).

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

980900388 is a wasteful number, since it uses less digits than its factorization.

980900388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 980900388 is about 31319.3293031636. The cubic root of 980900388 is about 993.5924942255.

The spelling of 980900388 in words is "nine hundred eighty million, nine hundred thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 727 806 837 961 1116 1209 1404 1454 1612 1674 1922 2181 2418 2883 2908 3348 3627 3844 4362 4836 5766 6543 7254 8649 8724 9451 10881 11532 12493 13086 14508 17298 18902 19629 21762 22537 24986 25947 26172 28353 34596 37479 37804 39258 43524 45074 49972 51894 56706 67611 74958 78516 85059 90148 103788 112437 113412 135222 149916 170118 202833 224874 255177 270444 292981 337311 340236 405666 449748 510354 585962 608499 674622 698647 811332 878943 1020708 1171924 1216998 1349244 1397294 1757886 2095941 2433996 2636829 2794588 3515772 4191882 5273658 6287823 7910487 8383764 9082411 10547316 12575646 15820974 18164822 18863469 25151292 27247233 31641948 36329644 37726938 54494466 75453876 81741699 108988932 163483398 245225097 326966796 490450194 980900388