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1010220984 = 23353491489
BaseRepresentation
bin111100001101101…
…011111110111000
32121101220112200000
4330031223332320
54032104032414
6244124313000
734014510453
oct7415537670
92541815600
101010220984
11479274a83
122423a2760
131313a84c6
149824c49a
155da4eb09
hex3c36bfb8

1010220984 has 96 divisors (see below), whose sum is σ = 2847390000. Its totient is φ = 335549952.

The previous prime is 1010220983. The next prime is 1010221001. The reversal of 1010220984 is 4890220101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010220983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677712 + ... + 679200.

Almost surely, 21010220984 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 1010220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423695000).

1010220984 is an abundant number, since it is smaller than the sum of its proper divisors (1837169016).

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

1010220984 is a wasteful number, since it uses less digits than its factorization.

1010220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1010220984 is about 31783.9736974470. The cubic root of 1010220984 is about 1003.3954525200.

The spelling of 1010220984 in words is "one billion, ten million, two hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 349 486 648 698 972 1047 1396 1489 1944 2094 2792 2978 3141 4188 4467 5956 6282 8376 8934 9423 11912 12564 13401 17868 18846 25128 26802 28269 35736 37692 40203 53604 56538 75384 80406 84807 107208 113076 120609 160812 169614 226152 241218 321624 339228 361827 482436 519661 678456 723654 964872 1039322 1447308 1558983 2078644 2894616 3117966 4157288 4676949 6235932 9353898 12471864 14030847 18707796 28061694 37415592 42092541 56123388 84185082 112246776 126277623 168370164 252555246 336740328 505110492 1010220984