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1064370132 = 22357311503
BaseRepresentation
bin111111011100001…
…111111111010100
32202011210121100000
4333130033333110
54134434321012
6253341051300
735242665630
oct7734177724
92664717300
101064370132
114a689a041
12258556b30
1313c687317
14a1505dc0
1563698ddc
hex3f70ffd4

1064370132 has 144 divisors (see below), whose sum is σ = 3205343232. Its totient is φ = 302525280.

The previous prime is 1064370113. The next prime is 1064370137. The reversal of 1064370132 is 2310734601.

1064370132 is a `hidden beast` number, since 1 + 0 + 643 + 7 + 0 + 13 + 2 = 666.

It is a super-2 number, since 2×10643701322 = 2265767555787394848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064370096 and 1064370105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064370137) 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, 2115793 + ... + 2116295.

It is an arithmetic number, because the mean of its divisors is an integer number (22259328).

Almost surely, 21064370132 is an apocalyptic number.

1064370132 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 1064370132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602671616).

1064370132 is an abundant number, since it is smaller than the sum of its proper divisors (2140973100).

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

1064370132 is a wasteful number, since it uses less digits than its factorization.

1064370132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1064370132 is about 32624.6859295228. The cubic root of 1064370132 is about 1021.0121095745.

The spelling of 1064370132 in words is "one billion, sixty-four million, three hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 311 324 378 486 503 567 622 756 933 972 1006 1134 1244 1509 1701 1866 2012 2177 2268 2799 3018 3402 3521 3732 4354 4527 5598 6036 6531 6804 7042 8397 8708 9054 10563 11196 13062 13581 14084 16794 18108 19593 21126 25191 26124 27162 31689 33588 39186 40743 42252 50382 54324 58779 63378 75573 78372 81486 95067 100764 117558 122229 126756 151146 156433 162972 176337 190134 235116 244458 285201 302292 312866 352674 380268 469299 488916 529011 570402 625732 705348 855603 938598 1058022 1095031 1140804 1407897 1711206 1877196 2116044 2190062 2815794 3285093 3422412 4223691 4380124 5631588 6570186 8447382 9855279 12671073 13140372 16894764 19710558 25342146 29565837 38013219 39421116 50684292 59131674 76026438 88697511 118263348 152052876 177395022 266092533 354790044 532185066 1064370132