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1064934540 = 22345677971
BaseRepresentation
bin111111011110011…
…001110010001100
32202012212021120000
4333132121302030
54140110401130
6253401124300
735250536265
oct7736316214
92665767500
101064934540
114a714509a
12258789690
1313c8241a7
14a161196c
156375b260
hex3f799c8c

1064934540 has 120 divisors (see below), whose sum is σ = 3349119312. Its totient is φ = 283271040.

The previous prime is 1064934539. The next prime is 1064934551. The reversal of 1064934540 is 454394601.

1064934540 is a `hidden beast` number, since 1 + 0 + 649 + 3 + 4 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×10649345402 = 2268171148970023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1064934495 and 1064934504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1096255 + ... + 1097225.

Almost surely, 21064934540 is an apocalyptic number.

1064934540 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 1064934540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674559656).

1064934540 is an abundant number, since it is smaller than the sum of its proper divisors (2284184772).

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

1064934540 is a wasteful number, since it uses less digits than its factorization.

1064934540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1064934540 is about 32633.3347974123. The cubic root of 1064934540 is about 1021.1925498040.

The spelling of 1064934540 in words is "one billion, sixty-four million, nine hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 677 810 971 1354 1620 1942 2031 2708 2913 3385 3884 4062 4855 5826 6093 6770 8124 8739 9710 10155 11652 12186 13540 14565 17478 18279 19420 20310 24372 26217 29130 30465 34956 36558 40620 43695 52434 54837 58260 60930 73116 78651 87390 91395 104868 109674 121860 131085 157302 174780 182790 219348 262170 274185 314604 365580 393255 524340 548370 657367 786510 1096740 1314734 1573020 1972101 2629468 3286835 3944202 5916303 6573670 7888404 9860505 11832606 13147340 17748909 19721010 23665212 29581515 35497818 39442020 53246727 59163030 70995636 88744545 106493454 118326060 177489090 212986908 266233635 354978180 532467270 1064934540