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1330961472 = 26322310697
BaseRepresentation
bin100111101010100…
…1101110001000000
310102202102211220100
41033111031301000
510211211231342
6340023042400
744660662101
oct11725156100
93382384810
101330961472
11623325065
123118a0400
13182988789
14c8aa03a8
157bca8e4c
hex4f54dc40

1330961472 has 42 divisors (see below), whose sum is σ = 3814962398. Its totient is φ = 443653632.

The previous prime is 1330961383. The next prime is 1330961479. The reversal of 1330961472 is 2741690331.

1330961472 is a `hidden beast` number, since 1 + 3 + 30 + 9 + 614 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1280494656 + 50466816 = 35784^2 + 7104^2 .

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 (1330961479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1154773 + ... + 1155924.

Almost surely, 21330961472 is an apocalyptic number.

1330961472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330961472 is an abundant number, since it is smaller than the sum of its proper divisors (2484000926).

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

1330961472 is a wasteful number, since it uses less digits than its factorization.

1330961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310715 (or 2310702 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1330961472 is about 36482.3446614935. The cubic root of 1330961472 is about 1099.9893861235.

The spelling of 1330961472 in words is "one billion, three hundred thirty million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2310697 4621394 6932091 9242788 13864182 18485576 20796273 27728364 36971152 41592546 55456728 73942304 83185092 110913456 147884608 166370184 221826912 332740368 443653824 665480736 1330961472