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1021938144 = 25382912841
BaseRepresentation
bin111100111010011…
…000100111100000
32122012221211120220
4330322120213200
54043104010034
6245223403040
734216221333
oct7472304740
92565854526
101021938144
11484948287
122462b3480
1313394b836
1499a1c61a
155eab6749
hex3ce989e0

1021938144 has 48 divisors (see below), whose sum is σ = 2686032720. Its totient is φ = 340208640.

The previous prime is 1021938143. The next prime is 1021938149. The reversal of 1021938144 is 4418391201.

It is a happy number.

1021938144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021938143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73164 + ... + 86004.

It is an arithmetic number, because the mean of its divisors is an integer number (55959015).

Almost surely, 21021938144 is an apocalyptic number.

It is an amenable number.

1021938144 is an abundant number, since it is smaller than the sum of its proper divisors (1664094576).

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

1021938144 is a wasteful number, since it uses less digits than its factorization.

1021938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13683 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1021938144 is about 31967.7672664201. The cubic root of 1021938144 is about 1007.2598812448.

The spelling of 1021938144 in words is "one billion, twenty-one million, nine hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 829 1658 2487 3316 4974 6632 9948 12841 13264 19896 25682 26528 38523 39792 51364 77046 79584 102728 154092 205456 308184 410912 616368 1232736 10645189 21290378 31935567 42580756 63871134 85161512 127742268 170323024 255484536 340646048 510969072 1021938144