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1052010240 = 28351914419
BaseRepresentation
bin111110101101000…
…110011100000000
32201022112122202020
4332231012130000
54123303311430
6252220121440
735032640151
oct7655063400
92638478666
101052010240
1149a917956
12254396280
13139c4a588
149da09928
1562556b10
hex3eb46700

1052010240 has 144 divisors (see below), whose sum is σ = 3536937600. Its totient is φ = 265752576.

The previous prime is 1052010163. The next prime is 1052010251. The reversal of 1052010240 is 420102501.

It is a super-2 number, since 2×10520102402 = 2213451090129715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65751 + ... + 80169.

Almost surely, 21052010240 is an apocalyptic number.

1052010240 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 1052010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768468800).

1052010240 is an abundant number, since it is smaller than the sum of its proper divisors (2484927360).

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

1052010240 is a wasteful number, since it uses less digits than its factorization.

1052010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1052010240 is about 32434.7073364321. The cubic root of 1052010240 is about 1017.0445784292.

Adding to 1052010240 its reverse (420102501), we get a palindrome (1472112741).

The spelling of 1052010240 in words is "one billion, fifty-two million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14419 14592 18240 24320 28838 36480 43257 57676 72095 72960 86514 115352 144190 173028 216285 230704 273961 288380 346056 432570 461408 547922 576760 692112 821883 865140 922816 1095844 1153520 1369805 1384224 1643766 1730280 1845632 2191688 2307040 2739610 2768448 3287532 3460560 3691264 4109415 4383376 4614080 5479220 5536896 6575064 6921120 8218830 8766752 9228160 10958440 11073792 13150128 13842240 16437660 17533504 18456320 21916880 26300256 27684480 32875320 35067008 43833760 52600512 55368960 65750640 70134016 87667520 105201024 131501280 175335040 210402048 263002560 350670080 526005120 1052010240