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1059209424 = 243271380831
BaseRepresentation
bin111111001000100…
…100000011010000
32201211002102011200
4333020210003100
54132124200144
6253034311200
735151063060
oct7710440320
92654072150
101059209424
114a3994799
12256888500
1313b59b350
14a09613a0
1562ec9c69
hex3f2240d0

1059209424 has 120 divisors (see below), whose sum is σ = 3648433152. Its totient is φ = 279348480.

The previous prime is 1059209423. The next prime is 1059209479. The reversal of 1059209424 is 4249029501.

It is a super-2 number, since 2×10592094242 = 2243849207780823552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059209423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27312 + ... + 53519.

Almost surely, 21059209424 is an apocalyptic number.

1059209424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1059209424 is an abundant number, since it is smaller than the sum of its proper divisors (2589223728).

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

1059209424 is a wasteful number, since it uses less digits than its factorization.

1059209424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80865 (or 80856 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1059209424 is about 32545.4977531455. The cubic root of 1059209424 is about 1019.3592746522.

The spelling of 1059209424 in words is "one billion, fifty-nine million, two hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 80831 161662 242493 323324 484986 565817 646648 727479 969972 1050803 1131634 1293296 1454958 1697451 1939944 2101606 2263268 2909916 3152409 3394902 3879888 4203212 4526536 5092353 5819832 6304818 6789804 7355621 8406424 9053072 9457227 10184706 11639664 12609636 13579608 14711242 16812848 18914454 20369412 22066863 25219272 27159216 29422484 37828908 40738824 44133726 50438544 58844968 66200589 75657816 81477648 88267452 117689936 132401178 151315632 176534904 264802356 353069808 529604712 1059209424