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1064039970 = 235731732239
BaseRepresentation
bin111111011010111…
…111011000100010
32202011011211102210
4333122333120202
54134343234340
6253330022550
735240122230
oct7732773042
92664154383
101064039970
114a6693a84
12258417a56
1313c59cc66
14a145b950
1563631180
hex3f6bf622

1064039970 has 128 divisors (see below), whose sum is σ = 3055288320. Its totient is φ = 232035840.

The previous prime is 1064039917. The next prime is 1064039971. The reversal of 1064039970 is 799304601.

It is a super-2 number, since 2×10640399702 = 2264362115515201800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064039971) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 474111 + ... + 476349.

It is an arithmetic number, because the mean of its divisors is an integer number (23869440).

Almost surely, 21064039970 is an apocalyptic number.

1064039970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064039970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527644160).

1064039970 is an abundant number, since it is smaller than the sum of its proper divisors (1991248350).

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

1064039970 is a wasteful number, since it uses less digits than its factorization.

1064039970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 1064039970 is about 32619.6255343313. The cubic root of 1064039970 is about 1020.9065278000.

The spelling of 1064039970 in words is "one billion, sixty-four million, thirty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 73 93 105 146 155 186 210 217 219 310 365 434 438 465 511 651 730 930 1022 1085 1095 1302 1533 2170 2190 2239 2263 2555 3066 3255 4478 4526 5110 6510 6717 6789 7665 11195 11315 13434 13578 15330 15673 15841 22390 22630 31346 31682 33585 33945 47019 47523 67170 67890 69409 78365 79205 94038 95046 138818 156730 158410 163447 208227 235095 237615 326894 347045 416454 470190 475230 485863 490341 694090 817235 971726 980682 1041135 1144129 1457589 1634470 2082270 2288258 2429315 2451705 2915178 3432387 4858630 4903410 5066857 5720645 6864774 7287945 10133714 11441290 14575890 15200571 17161935 25334285 30401142 34323870 35467999 50668570 70935998 76002855 106403997 152005710 177339995 212807994 354679990 532019985 1064039970