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4061032640 = 26571995419
BaseRepresentation
bin1111001000001110…
…0111000011000000
3101111000112211111022
43302003213003000
531304111021030
61510550005012
7202431131210
oct36203470300
911430484438
104061032640
1117a438aa25
12954046768
134c94706c2
142a74c0240
1518b7cdde5
hexf20e70c0

4061032640 has 112 divisors (see below), whose sum is σ = 11633606400. Its totient is φ = 1319058432.

The previous prime is 4061032639. The next prime is 4061032649. The reversal of 4061032640 is 462301604.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40610326402 = 32983972206290739200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4061032649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5150 + ... + 90269.

Almost surely, 24061032640 is an apocalyptic number.

4061032640 is a gapful number since it is divisible by the number (40) 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 4061032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816803200).

4061032640 is an abundant number, since it is smaller than the sum of its proper divisors (7572573760).

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

4061032640 is a wasteful number, since it uses less digits than its factorization.

4061032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95462 (or 95452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4061032640 is about 63726.2319614144. The cubic root of 4061032640 is about 1595.4339401648.

The spelling of 4061032640 in words is "four billion, sixty-one million, thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 4256 5320 6080 8512 10640 21280 42560 95419 190838 381676 477095 667933 763352 954190 1335866 1526704 1812961 1908380 2671732 3053408 3339665 3625922 3816760 5343464 6106816 6679330 7251844 7633520 9064805 10686928 12690727 13358660 14503688 15267040 18129610 21373856 25381454 26717320 29007376 30534080 36259220 42747712 50762908 53434640 58014752 63453635 72518440 101525816 106869280 116029504 126907270 145036880 203051632 213738560 253814540 290073760 406103264 507629080 580147520 812206528 1015258160 2030516320 4061032640