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1070525484 = 223473171489
BaseRepresentation
bin111111110011101…
…110110000101100
32202121101022220000
4333303232300230
54143023303414
6254121024300
735346213360
oct7763566054
92677338800
101070525484
114aa313706
1225a625090
13140a30c42
14a22692a0
1563eb2b09
hex3fceec2c

1070525484 has 120 divisors (see below), whose sum is σ = 3210604320. Its totient is φ = 304694784.

The previous prime is 1070525471. The next prime is 1070525497. The reversal of 1070525484 is 4845250701.

1070525484 is a `hidden beast` number, since 107 + 0 + 5 + 2 + 548 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1070525471) and next prime (1070525497).

It is a super-2 number, since 2×10705254842 = 2292049623786868512, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 718212 + ... + 719700.

It is an arithmetic number, because the mean of its divisors is an integer number (26755036).

Almost surely, 21070525484 is an apocalyptic number.

1070525484 is a gapful number since it is divisible by the number (14) 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 1070525484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605302160).

1070525484 is an abundant number, since it is smaller than the sum of its proper divisors (2140078836).

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

1070525484 is a wasteful number, since it uses less digits than its factorization.

1070525484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1070525484 is about 32718.8857389734. The cubic root of 1070525484 is about 1022.9765304512.

The spelling of 1070525484 in words is "one billion, seventy million, five hundred twenty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 317 324 378 567 634 756 951 1134 1268 1489 1902 2219 2268 2853 2978 3804 4438 4467 5706 5956 6657 8559 8876 8934 10423 11412 13314 13401 17118 17868 19971 20846 25677 26628 26802 31269 34236 39942 40203 41692 51354 53604 59913 62538 79884 80406 93807 102708 119826 120609 125076 160812 179739 187614 239652 241218 281421 359478 375228 472013 482436 562842 718956 844263 944026 1125684 1416039 1688526 1888052 2832078 3304091 3377052 4248117 5664156 6608182 8496234 9912273 12744351 13216364 16992468 19824546 25488702 29736819 38233053 39649092 50977404 59473638 76466106 89210457 118947276 152932212 178420914 267631371 356841828 535262742 1070525484