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980632116 = 223319746091
BaseRepresentation
bin111010011100110…
…100001000110100
32112100020021101000
4322130310020310
54002020211431
6241150203300
733205143522
oct7234641064
92470207330
10980632116
114635a5472
122344b3530
131282186b9
1494349312
155b1579e6
hex3a734234

980632116 has 48 divisors (see below), whose sum is σ = 2555340480. Its totient is φ = 325211040.

The previous prime is 980632109. The next prime is 980632153. The reversal of 980632116 is 611236089.

980632116 is a `hidden beast` number, since 9 + 8 + 0 + 632 + 1 + 16 = 666.

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 15 ways as a sum of consecutive naturals, for example, 1770 + ... + 44321.

It is an arithmetic number, because the mean of its divisors is an integer number (53236260).

Almost surely, 2980632116 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 980632116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277670240).

980632116 is an abundant number, since it is smaller than the sum of its proper divisors (1574708364).

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

980632116 is a wasteful number, since it uses less digits than its factorization.

980632116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46301 (or 46293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 980632116 is about 31315.0461599532. The cubic root of 980632116 is about 993.5019048878.

The spelling of 980632116 in words is "nine hundred eighty million, six hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 21276 46091 92182 138273 184364 276546 414819 553092 829638 1244457 1659276 2488914 4977828 9079927 18159854 27239781 36319708 54479562 81719343 108959124 163438686 245158029 326877372 490316058 980632116