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1026570114 = 232196771631
BaseRepresentation
bin111101001100000…
…011011110000010
32122112200011110100
4331030003132002
54100300220424
6245510543230
734303462533
oct7514033602
92575604410
101026570114
11487521359
12247967b16
131348b0c4b
149a4a668a
15601cddc9
hex3d303782

1026570114 has 96 divisors (see below), whose sum is σ = 2413532160. Its totient is φ = 314344800.

The previous prime is 1026570067. The next prime is 1026570119. The reversal of 1026570114 is 4110756201.

It is a happy number.

1026570114 is a `hidden beast` number, since 1 + 0 + 2 + 657 + 0 + 1 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1026570119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626579 + ... + 1627209.

It is an arithmetic number, because the mean of its divisors is an integer number (25140960).

Almost surely, 21026570114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026570114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206766080).

1026570114 is an abundant number, since it is smaller than the sum of its proper divisors (1386962046).

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

1026570114 is a wasteful number, since it uses less digits than its factorization.

1026570114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1026570114 is about 32040.1328648931. The cubic root of 1026570114 is about 1008.7794012151.

The spelling of 1026570114 in words is "one billion, twenty-six million, five hundred seventy thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 67 71 114 134 142 171 201 213 342 402 426 603 631 639 1206 1262 1273 1278 1349 1893 2546 2698 3786 3819 4047 4757 5679 7638 8094 9514 11358 11457 11989 12141 14271 22914 23978 24282 28542 35967 42277 42813 44801 71934 84554 85626 89602 90383 107901 126831 134403 180766 215802 253662 268806 271149 380493 403209 542298 760986 803263 806418 813447 851219 1606526 1626894 1702438 2409789 2553657 3001667 4819578 5107314 6003334 7229367 7660971 9005001 14458734 15321942 18010002 27015003 54030006 57031673 114063346 171095019 342190038 513285057 1026570114