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1070061132 = 2237411571979
BaseRepresentation
bin111111110001111…
…101011001001100
32202120111201220210
4333301331121030
54142413424012
6254103042420
735342240520
oct7761753114
92676451823
101070061132
114aa026848
1225a440410
131408ca78a
14a2187d80
1563e2023c
hex3fc7d64c

1070061132 has 96 divisors (see below), whose sum is σ = 2943198720. Its totient is φ = 296225280.

The previous prime is 1070061119. The next prime is 1070061143. The reversal of 1070061132 is 2311600701.

It is a super-2 number, since 2×10700611322 = 2290061652434242848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1070061099 and 1070061108.

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 31 ways as a sum of consecutive naturals, for example, 539719 + ... + 541697.

It is an arithmetic number, because the mean of its divisors is an integer number (30658320).

Almost surely, 21070061132 is an apocalyptic number.

1070061132 is a gapful number since it is divisible by the number (12) 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 1070061132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471599360).

1070061132 is an abundant number, since it is smaller than the sum of its proper divisors (1873137588).

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

1070061132 is a wasteful number, since it uses less digits than its factorization.

1070061132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1070061132 is about 32711.7888841317. The cubic root of 1070061132 is about 1022.8286000178.

Adding to 1070061132 its reverse (2311600701), we get a palindrome (3381661833).

The spelling of 1070061132 in words is "one billion, seventy million, sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 157 164 246 287 314 471 492 574 628 861 942 1099 1148 1722 1884 1979 2198 3297 3444 3958 4396 5937 6437 6594 7916 11874 12874 13188 13853 19311 23748 25748 27706 38622 41559 45059 55412 77244 81139 83118 90118 135177 162278 166236 180236 243417 270354 310703 324556 486834 540708 567973 621406 932109 973668 1135946 1242812 1703919 1864218 2174921 2271892 3407838 3728436 4349842 6524763 6815676 8699684 12738823 13049526 25477646 26099052 38216469 50955292 76432938 89171761 152865876 178343522 267515283 356687044 535030566 1070061132