Search a number
-
+
1070309376 = 213341613
BaseRepresentation
bin111111110010111…
…010000000000000
32202120222100110000
4333302322000000
54142444400001
6254112240000
735344323333
oct7762720000
92676870400
101070309376
114aa186304
1225a540000
13140986776
14a221061a
1563e6da86
hex3fcba000

1070309376 has 140 divisors (see below), whose sum is σ = 3199501602. Its totient is φ = 356548608.

The previous prime is 1070309371. The next prime is 1070309377. The reversal of 1070309376 is 6739030701.

It can be written as a sum of positive squares in only one way, i.e., 862949376 + 207360000 = 29376^2 + 14400^2 .

It is a super-2 number, since 2×10703093762 = 2291124320707018752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1070309376.

It is not an unprimeable number, because it can be changed into a prime (1070309371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 662746 + ... + 664358.

Almost surely, 21070309376 is an apocalyptic number.

1070309376 is a gapful number since it is divisible by the number (16) 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 1070309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599750801).

1070309376 is an abundant number, since it is smaller than the sum of its proper divisors (2129192226).

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

1070309376 is an frugal number, since it uses more digits than its factorization.

1070309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 1070309376 is about 32715.5830759594. The cubic root of 1070309376 is about 1022.9076894028.

The spelling of 1070309376 in words is "one billion, seventy million, three hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1613 1728 2048 2304 2592 3072 3226 3456 4096 4608 4839 5184 6144 6452 6912 8192 9216 9678 10368 12288 12904 13824 14517 18432 19356 20736 24576 25808 27648 29034 36864 38712 41472 43551 51616 55296 58068 73728 77424 82944 87102 103232 110592 116136 130653 154848 165888 174204 206464 221184 232272 261306 309696 331776 348408 412928 464544 522612 619392 663552 696816 825856 929088 1045224 1238784 1393632 1651712 1858176 2090448 2477568 2787264 3303424 3716352 4180896 4955136 5574528 6606848 7432704 8361792 9910272 11149056 13213696 14865408 16723584 19820544 22298112 29730816 33447168 39641088 44596224 59461632 66894336 89192448 118923264 133788672 178384896 267577344 356769792 535154688 1070309376