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1000898064 = 2432151191241
BaseRepresentation
bin111011101010000…
…111111000010000
32120202100220000200
4323222013320100
54022212214224
6243152415200
733542331105
oct7352077020
92522326020
101000898064
11473a87591
1223b247500
1312c492b9a
1496d02aac
155cd0c5c9
hex3ba87e10

1000898064 has 120 divisors (see below), whose sum is σ = 2846198784. Its totient is φ = 328320000.

The previous prime is 1000898039. The next prime is 1000898081. The reversal of 1000898064 is 4608980001.

It is a happy number.

1000898064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4152984 + ... + 4153224.

Almost surely, 21000898064 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 1000898064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423099392).

1000898064 is an abundant number, since it is smaller than the sum of its proper divisors (1845300720).

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

1000898064 is a wasteful number, since it uses less digits than its factorization.

1000898064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1000898064 is about 31636.9730536915. The cubic root of 1000898064 is about 1000.2992650981.

The spelling of 1000898064 in words is "one billion, eight hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 191 241 302 382 453 482 573 604 723 764 906 964 1146 1208 1359 1446 1528 1719 1812 1928 2169 2292 2416 2718 2892 3056 3438 3624 3856 4338 4584 5436 5784 6876 7248 8676 9168 10872 11568 13752 17352 21744 27504 28841 34704 36391 46031 57682 72782 86523 92062 109173 115364 138093 145564 173046 184124 218346 230728 259569 276186 291128 327519 346092 368248 414279 436692 461456 519138 552372 582256 655038 692184 736496 828558 873384 1038276 1104744 1310076 1384368 1657116 1746768 2076552 2209488 2620152 3314232 4153104 5240304 6628464 6950681 13901362 20852043 27802724 41704086 55605448 62556129 83408172 111210896 125112258 166816344 250224516 333632688 500449032 1000898064