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1245992064 = 27323711987
BaseRepresentation
bin100101001000100…
…0101010010000000
310012211112221210020
41022101011102000
510022433221224
6323345533440
742606520632
oct11221052200
93184487706
101245992064
1158a36a309
122a9344280
1316b1a8515
14bb6a2a52
15745c2c79
hex4a445480

1245992064 has 128 divisors (see below), whose sum is σ = 3503969280. Its totient is φ = 391480320.

The previous prime is 1245992023. The next prime is 1245992093. The reversal of 1245992064 is 4602995421.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626079 + ... + 628065.

It is an arithmetic number, because the mean of its divisors is an integer number (27374760).

Almost surely, 21245992064 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 1245992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751984640).

1245992064 is an abundant number, since it is smaller than the sum of its proper divisors (2257977216).

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

1245992064 is a wasteful number, since it uses less digits than its factorization.

1245992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1245992064 is about 35298.6127772750. The cubic root of 1245992064 is about 1076.0648008034.

The spelling of 1245992064 in words is "one billion, two hundred forty-five million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 128 138 142 184 192 213 276 284 368 384 426 552 568 736 852 1104 1136 1472 1633 1704 1987 2208 2272 2944 3266 3408 3974 4416 4544 4899 5961 6532 6816 7948 8832 9088 9798 11922 13064 13632 15896 19596 23844 26128 27264 31792 39192 45701 47688 52256 63584 78384 91402 95376 104512 127168 137103 141077 156768 182804 190752 209024 254336 274206 282154 313536 365608 381504 423231 548412 564308 627072 731216 763008 846462 1096824 1128616 1462432 1692924 2193648 2257232 2924864 3244771 3385848 4387296 4514464 5849728 6489542 6771696 8774592 9028928 9734313 12979084 13543392 17549184 18057856 19468626 25958168 27086784 38937252 51916336 54173568 77874504 103832672 155749008 207665344 311498016 415330688 622996032 1245992064