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1074525540 = 2235114139709
BaseRepresentation
bin100000000001011…
…1111010101100100
32202212220112221020
41000002333111210
54200034304130
6254342451140
735425213344
oct10002772544
92685815836
101074525540
115015a5a40
1225ba33ab0
1314180183a
14a29cad24
1564502e10
hex400bf564

1074525540 has 96 divisors (see below), whose sum is σ = 3362325120. Its totient is φ = 254131200.

The previous prime is 1074525539. The next prime is 1074525541. The reversal of 1074525540 is 455254701.

It is an interprime number because it is at equal distance from previous prime (1074525539) and next prime (1074525541).

It is a super-2 number, since 2×10745255402 = 2309210272224583200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1074525541) 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 31 ways as a sum of consecutive naturals, for example, 7206 + ... + 46914.

It is an arithmetic number, because the mean of its divisors is an integer number (35024220).

Almost surely, 21074525540 is an apocalyptic number.

1074525540 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 1074525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681162560).

1074525540 is an abundant number, since it is smaller than the sum of its proper divisors (2287799580).

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

1074525540 is a wasteful number, since it uses less digits than its factorization.

1074525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39773 (or 39771 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 1074525540 is about 32779.9563758099. The cubic root of 1074525540 is about 1024.2490760171.

The spelling of 1074525540 in words is "one billion, seventy-four million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 39709 79418 119127 158836 198545 238254 397090 436799 476508 595635 794180 873598 1191270 1310397 1628069 1747196 2183995 2382540 2620794 3256138 4367990 4884207 5241588 6512276 6551985 8140345 8735980 9768414 13103970 16280690 17908759 19536828 24421035 26207940 32561380 35817518 48842070 53726277 71635036 89543795 97684140 107452554 179087590 214905108 268631385 358175180 537262770 1074525540