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1490574096 = 2433111811733
BaseRepresentation
bin101100011011000…
…0101101100010000
310211212210000021000
41120312011230100
511023041332341
6403524102000
751636446034
oct13066055420
93755700230
101490574096
116a5432420
12357234900
131a9a71b0b
14101d6c1c4
158acd68b6
hex58d85b10

1490574096 has 160 divisors (see below), whose sum is σ = 4695949440. Its totient is φ = 448934400.

The previous prime is 1490574037. The next prime is 1490574139. The reversal of 1490574096 is 6904750941.

1490574096 is a `hidden beast` number, since 1 + 490 + 5 + 74 + 0 + 96 = 666.

It is a super-2 number, since 2×14905740962 = 4443622271332434432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859246 + ... + 860978.

It is an arithmetic number, because the mean of its divisors is an integer number (29349684).

Almost surely, 21490574096 is an apocalyptic number.

1490574096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490574096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347974720).

1490574096 is an abundant number, since it is smaller than the sum of its proper divisors (3205375344).

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

1490574096 is a wasteful number, since it uses less digits than its factorization.

1490574096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1490574096 is about 38607.9537919326. The cubic root of 1490574096 is about 1142.3114321211.

The spelling of 1490574096 in words is "one billion, four hundred ninety million, five hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 181 198 216 264 297 362 396 432 528 543 594 724 792 1086 1188 1448 1584 1629 1733 1991 2172 2376 2896 3258 3466 3982 4344 4752 4887 5199 5973 6516 6932 7964 8688 9774 10398 11946 13032 13864 15597 15928 17919 19063 19548 20796 23892 26064 27728 31194 31856 35838 38126 39096 41592 46791 47784 53757 57189 62388 71676 76252 78192 83184 93582 95568 107514 114378 124776 143352 152504 171567 187164 215028 228756 249552 286704 305008 313673 343134 374328 430056 457512 514701 627346 686268 748656 860112 915024 941019 1029402 1254692 1372536 1882038 2058804 2509384 2745072 2823057 3450403 3764076 4117608 5018768 5646114 6900806 7528152 8235216 8469171 10351209 11292228 13801612 15056304 16938342 20702418 22584456 27603224 31053627 33876684 41404836 45168912 55206448 62107254 67753368 82809672 93160881 124214508 135506736 165619344 186321762 248429016 372643524 496858032 745287048 1490574096