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1070285440 = 2757234129
BaseRepresentation
bin111111110010110…
…100001010000000
32202120221010121111
4333302310022000
54142443113230
6254111533104
735344163500
oct7762641200
92676833544
101070285440
114aa16a324
1225a52a194
131409788c3
14a2205a00
1563e6692a
hex3fcb4280

1070285440 has 96 divisors (see below), whose sum is σ = 2976477300. Its totient is φ = 366944256.

The previous prime is 1070285423. The next prime is 1070285459. The reversal of 1070285440 is 445820701.

It can be written as a sum of positive squares in 2 ways, for example, as 986965056 + 83320384 = 31416^2 + 9128^2 .

It is a super-2 number, since 2×10702854402 = 2291021846151987200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14296 + ... + 48424.

Almost surely, 21070285440 is an apocalyptic number.

1070285440 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 1070285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488238650).

1070285440 is an abundant number, since it is smaller than the sum of its proper divisors (1906191860).

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

1070285440 is an equidigital number, since it uses as much as digits as its factorization.

1070285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34162 (or 34143 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1070285440 is about 32715.2172543604. The cubic root of 1070285440 is about 1022.9000640372.

The spelling of 1070285440 in words is "one billion, seventy million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 34129 68258 136516 170645 238903 273032 341290 477806 546064 682580 955612 1092128 1194515 1365160 1672321 1911224 2184256 2389030 2730320 3344642 3822448 4368512 4778060 5460640 6689284 7644896 8361605 9556120 10921280 13378568 15289792 16723210 19112240 21842560 26757136 30579584 33446420 38224480 53514272 66892840 76448960 107028544 133785680 152897920 214057088 267571360 535142720 1070285440