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1490125824 = 210321114699
BaseRepresentation
bin101100011010001…
…1000010000000000
310211211221020100100
41120310120100000
511022433011244
6403510322400
751632601105
oct13064302000
93754836310
101490125824
116a5156650
12357059400
131a9945a75
14101c92aac
158ac48b69
hex58d18400

1490125824 has 132 divisors (see below), whose sum is σ = 4694180400. Its totient is φ = 451522560.

The previous prime is 1490125801. The next prime is 1490125829. The reversal of 1490125824 is 4285210941.

It is a tau number, because it is divible by the number of its divisors (132).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1490125829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94027 + ... + 108725.

Almost surely, 21490125824 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 1490125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347090200).

1490125824 is an abundant number, since it is smaller than the sum of its proper divisors (3204054576).

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

1490125824 is a wasteful number, since it uses less digits than its factorization.

1490125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14736 (or 14715 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1490125824 is about 38602.1479195135. The cubic root of 1490125824 is about 1142.1969085575.

The spelling of 1490125824 in words is "one billion, four hundred ninety million, one hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 14699 16896 25344 29398 33792 44097 50688 58796 88194 101376 117592 132291 161689 176388 235184 264582 323378 352776 470368 485067 529164 646756 705552 940736 970134 1058328 1293512 1411104 1455201 1881472 1940268 2116656 2587024 2822208 2910402 3762944 3880536 4233312 5174048 5644416 5820804 7525888 7761072 8466624 10348096 11288832 11641608 15051776 15522144 16933248 20696192 22577664 23283216 31044288 33866496 41392384 45155328 46566432 62088576 67732992 82784768 93132864 124177152 135465984 165569536 186265728 248354304 372531456 496708608 745062912 1490125824