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1064950440 = 233531476091
BaseRepresentation
bin111111011110011…
…101101010101000
32202012220002100220
4333132131222220
54140111403230
6253401330040
735250633531
oct7736355250
92665802326
101064950440
114a7156034
12258796920
1313c82b4b8
14a1617688
1563760d10
hex3f79daa8

1064950440 has 128 divisors (see below), whose sum is σ = 3368632320. Its totient is φ = 268934400.

The previous prime is 1064950423. The next prime is 1064950451. The reversal of 1064950440 is 440594601.

It is a super-2 number, since 2×10649504402 = 2268238879312387200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 171795 + ... + 177885.

It is an arithmetic number, because the mean of its divisors is an integer number (26317440).

Almost surely, 21064950440 is an apocalyptic number.

1064950440 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 1064950440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684316160).

1064950440 is an abundant number, since it is smaller than the sum of its proper divisors (2303681880).

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

1064950440 is a wasteful number, since it uses less digits than its factorization.

1064950440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1064950440 is about 32633.5784124267. The cubic root of 1064950440 is about 1021.1976320822.

The spelling of 1064950440 in words is "one billion, sixty-four million, nine hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 564 620 705 744 930 940 1128 1240 1410 1457 1860 1880 2820 2914 3720 4371 5640 5828 6091 7285 8742 11656 12182 14570 17484 18273 21855 24364 29140 30455 34968 36546 43710 48728 58280 60910 73092 87420 91365 121820 146184 174840 182730 188821 243640 286277 365460 377642 566463 572554 730920 755284 858831 944105 1132926 1145108 1431385 1510568 1717662 1888210 2265852 2290216 2832315 2862770 3435324 3776420 4294155 4531704 5664630 5725540 6870648 7552840 8588310 8874587 11329260 11451080 17176620 17749174 22658520 26623761 34353240 35498348 44372935 53247522 70996696 88745870 106495044 133118805 177491740 212990088 266237610 354983480 532475220 1064950440