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1052352840 = 2335711113891
BaseRepresentation
bin111110101110011…
…010000101001000
32201100012001201010
4332232122011020
54123400242330
6252231323520
735035565040
oct7656320510
92640161633
101052352840
114a00312a0
122545205a0
1313a03a4b6
149da98720
15625c33b0
hex3eb9a148

1052352840 has 128 divisors (see below), whose sum is σ = 3936107520. Its totient is φ = 218668800.

The previous prime is 1052352839. The next prime is 1052352857. The reversal of 1052352840 is 482532501.

1052352840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10523528402 = 2214892999712131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1052352798 and 1052352807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47706 + ... + 66185.

It is an arithmetic number, because the mean of its divisors is an integer number (30750840).

Almost surely, 21052352840 is an apocalyptic number.

1052352840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052352840 is an abundant number, since it is smaller than the sum of its proper divisors (2883754680).

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

1052352840 is a wasteful number, since it uses less digits than its factorization.

1052352840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113923 (or 113919 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1052352840 is about 32439.9882860645. The cubic root of 1052352840 is about 1017.1549707814.

The spelling of 1052352840 in words is "one billion, fifty-two million, three hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 113891 227782 341673 455564 569455 683346 797237 911128 1138910 1252801 1366692 1594474 1708365 2277820 2391711 2505602 2733384 3188948 3416730 3758403 3986185 4555640 4783422 5011204 6264005 6377896 6833460 7516806 7972370 8769607 9566844 10022408 11958555 12528010 13666920 15033612 15944740 17539214 18792015 19133688 23917110 25056020 26308821 30067224 31889480 35078428 37584030 43848035 47834220 50112040 52617642 70156856 75168060 87696070 95668440 105235284 131544105 150336120 175392140 210470568 263088210 350784280 526176420 1052352840