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1070454264 = 2331129891571
BaseRepresentation
bin111111110011011…
…101010111111000
32202121020201012020
4333303131113320
54143014014024
6254115314440
735345465625
oct7763352770
92677221166
101070454264
114aa275150
1225a5aba20
13140a076b9
14a224b34c
1563e9b979
hex3fcdd5f8

1070454264 has 128 divisors (see below), whose sum is σ = 3055968000. Its totient is φ = 309478400.

The previous prime is 1070454221. The next prime is 1070454269. The reversal of 1070454264 is 4624540701.

It is a super-2 number, since 2×10704542642 = 2291744662631563392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070454269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680599 + ... + 682169.

It is an arithmetic number, because the mean of its divisors is an integer number (23874750).

Almost surely, 21070454264 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 1070454264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527984000).

1070454264 is an abundant number, since it is smaller than the sum of its proper divisors (1985513736).

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

1070454264 is a wasteful number, since it uses less digits than its factorization.

1070454264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1070454264 is about 32717.7973586243. The cubic root of 1070454264 is about 1022.9538443948.

Adding to 1070454264 its reverse (4624540701), we get a palindrome (5694994965).

The spelling of 1070454264 in words is "one billion, seventy million, four hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 89 116 132 174 178 232 264 267 319 348 356 534 638 696 712 957 979 1068 1276 1571 1914 1958 2136 2552 2581 2937 3142 3828 3916 4713 5162 5874 6284 7656 7743 7832 9426 10324 11748 12568 15486 17281 18852 20648 23496 28391 30972 34562 37704 45559 51843 56782 61944 69124 85173 91118 103686 113564 136677 138248 139819 170346 182236 207372 227128 273354 279638 340692 364472 414744 419457 501149 546708 559276 681384 838914 1002298 1093416 1118552 1503447 1538009 1677828 2004596 3006894 3076018 3355656 4009192 4054751 4614027 6013788 6152036 8109502 9228054 12027576 12164253 12304072 16219004 18456108 24328506 32438008 36912216 44602261 48657012 89204522 97314024 133806783 178409044 267613566 356818088 535227132 1070454264