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1074897968 = 243171131233
BaseRepresentation
bin100000000010001…
…1010010000110000
32202220121110210212
41000010122100300
54200133213333
6254354443252
735431324214
oct10004322060
92686543725
101074897968
1150182a831
1225bb93528
13141902201
14a2a86944
1564578448
hex4011a430

1074897968 has 80 divisors (see below), whose sum is σ = 2206144512. Its totient is φ = 506688000.

The previous prime is 1074897953. The next prime is 1074897997. The reversal of 1074897968 is 8697984701.

It is a super-2 number, since 2×10748979682 = 2310811283221058048, which contains 22 as substring.

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, 4613180 + ... + 4613412.

Almost surely, 21074897968 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 1074897968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103072256).

1074897968 is an abundant number, since it is smaller than the sum of its proper divisors (1131246544).

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

1074897968 is a wasteful number, since it uses less digits than its factorization.

1074897968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 59.

The square root of 1074897968 is about 32785.6366111747. The cubic root of 1074897968 is about 1024.3673964473.

The spelling of 1074897968 in words is "one billion, seventy-four million, eight hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 71 124 131 142 233 248 262 284 466 496 524 568 932 1048 1136 1864 2096 2201 3728 4061 4402 7223 8122 8804 9301 14446 16244 16543 17608 18602 28892 30523 32488 33086 35216 37204 57784 61046 64976 66172 74408 115568 122092 132344 148816 244184 264688 288331 488368 512833 576662 946213 1025666 1153324 1892426 2051332 2167133 2306648 3784852 4102664 4334266 4613296 7569704 8205328 8668532 15139408 17337064 34674128 67181123 134362246 268724492 537448984 1074897968