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1076542002 = 239232941
BaseRepresentation
bin100000000101010…
…1011101000110010
32210000201000000000
41000022223220302
54201043321002
6254454010430
735451312264
oct10012535062
92700630000
101076542002
11502752a38
12260646a16
13142059603
14a2d93b34
15647a061c
hex402aba32

1076542002 has 160 divisors (see below), whose sum is σ = 2678417280. Its totient is φ = 323326080.

The previous prime is 1076541959. The next prime is 1076542009. The reversal of 1076542002 is 2002456701.

1076542002 is a `hidden beast` number, since 1 + 0 + 7 + 654 + 2 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1076542009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26257102 + ... + 26257142.

It is an arithmetic number, because the mean of its divisors is an integer number (16740108).

Almost surely, 21076542002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076542002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339208640).

1076542002 is an abundant number, since it is smaller than the sum of its proper divisors (1601875278).

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

1076542002 is an frugal number, since it uses more digits than its factorization.

1076542002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1076542002 is about 32810.6995048871. The cubic root of 1076542002 is about 1024.8893799320.

Adding to 1076542002 its reverse (2002456701), we get a palindrome (3078998703).

The spelling of 1076542002 in words is "one billion, seventy-six million, five hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 18 23 27 29 41 46 54 58 69 81 82 87 123 138 162 174 207 243 246 261 369 414 486 522 621 667 729 738 783 943 1107 1189 1242 1334 1458 1566 1863 1886 2001 2187 2214 2349 2378 2829 3321 3567 3726 4002 4374 4698 5589 5658 6003 6561 6642 7047 7134 8487 9963 10701 11178 12006 13122 14094 16767 16974 18009 19683 19926 21141 21402 25461 27347 29889 32103 33534 36018 39366 42282 50301 50922 54027 54694 59778 63423 64206 76383 82041 89667 96309 100602 108054 126846 150903 152766 162081 164082 179334 190269 192618 229149 246123 269001 288927 301806 324162 380538 452709 458298 486243 492246 538002 570807 577854 687447 738369 807003 866781 905418 972486 1141614 1374894 1458729 1476738 1614006 1733562 2062341 2215107 2600343 2917458 4124682 4376187 4430214 5200686 6187023 6645321 7801029 8752374 12374046 13128561 13290642 15602058 18561069 19935963 23403087 26257122 37122138 39871926 46806174 59807889 119615778 179423667 358847334 538271001 1076542002