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1066601540 = 225232731381
BaseRepresentation
bin111111100100110…
…000110001000100
32202022222222020202
4333210300301010
54141022222130
6253500550032
735300651324
oct7744606104
92668888222
101066601540
114a8083584
12259252318
1313cc88b94
14a1927284
156398a145
hex3f930c44

1066601540 has 72 divisors (see below), whose sum is σ = 2375276568. Its totient is φ = 402209280.

The previous prime is 1066601507. The next prime is 1066601551. The reversal of 1066601540 is 451066601.

It can be written as a sum of positive squares in 4 ways, for example, as 113891584 + 952709956 = 10672^2 + 30866^2 .

It is a super-2 number, since 2×10666015402 = 2275277690260743200, which contains 22 as substring.

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, 771650 + ... + 773030.

Almost surely, 21066601540 is an apocalyptic number.

1066601540 is a gapful number since it is divisible by the number (10) 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 1066601540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187638284).

1066601540 is an abundant number, since it is smaller than the sum of its proper divisors (1308675028).

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

1066601540 is a wasteful number, since it uses less digits than its factorization.

1066601540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1066601540 is about 32658.8661775022. The cubic root of 1066601540 is about 1021.7251147769.

The spelling of 1066601540 in words is "one billion, sixty-six million, six hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 529 730 1058 1381 1460 1679 2116 2645 2762 3358 5290 5524 6716 6905 8395 10580 13810 16790 27620 31763 33580 38617 63526 77234 100813 127052 154468 158815 193085 201626 317630 386170 403252 504065 635260 730549 772340 1008130 1461098 2016260 2318699 2922196 3652745 4637398 7305490 9274796 11593495 14610980 23186990 46373980 53330077 106660154 213320308 266650385 533300770 1066601540