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1146061312 = 2911593449
BaseRepresentation
bin100010001001111…
…1000001000000000
32221212111221120021
41010103320020000
54321342430222
6305420023224
740254234424
oct10423701000
92855457507
101146061312
11538a15910
1227b991b14
1315358a3b6
14ac2ccb84
156a933ac7
hex444f8200

1146061312 has 80 divisors (see below), whose sum is σ = 2541132000. Its totient is φ = 511959040.

The previous prime is 1146061303. The next prime is 1146061321. The reversal of 1146061312 is 2131606411.

It is an interprime number because it is at equal distance from previous prime (1146061303) and next prime (1146061321).

It is a super-2 number, since 2×11460613122 = 2626913061726322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330564 + ... + 334012.

It is an arithmetic number, because the mean of its divisors is an integer number (31764150).

Almost surely, 21146061312 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 1146061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270566000).

1146061312 is an abundant number, since it is smaller than the sum of its proper divisors (1395070688).

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

1146061312 is an equidigital number, since it uses as much as digits as its factorization.

1146061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1146061312 is about 33853.5273199116. The cubic root of 1146061312 is about 1046.4920916372.

Adding to 1146061312 its reverse (2131606411), we get a palindrome (3277667723).

The spelling of 1146061312 in words is "one billion, one hundred forty-six million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 256 352 472 512 649 704 944 1298 1408 1888 2596 2816 3449 3776 5192 5632 6898 7552 10384 13796 15104 20768 27592 30208 37939 41536 55184 75878 83072 110368 151756 166144 203491 220736 303512 332288 406982 441472 607024 813964 882944 1214048 1627928 1765888 2238401 2428096 3255856 4476802 4856192 6511712 8953604 9712384 13023424 17907208 19424768 26046848 35814416 52093696 71628832 104187392 143257664 286515328 573030656 1146061312