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1052542960 = 245713611381
BaseRepresentation
bin111110101111001…
…000011111110000
32201100112201111121
4332233020133300
54123422333320
6252235352024
735040316240
oct7657103760
92640481447
101052542960
114a0151117
122545b2614
1313a0a5bb1
149db07b20
156260e8aa
hex3ebc87f0

1052542960 has 80 divisors (see below), whose sum is σ = 2800838592. Its totient is φ = 360345600.

The previous prime is 1052542927. The next prime is 1052543017. The reversal of 1052542960 is 692452501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10525429602 = 2215693365291123200, which contains 22 as substring.

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, 761470 + ... + 762850.

Almost surely, 21052542960 is an apocalyptic number.

1052542960 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 1052542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400419296).

1052542960 is an abundant number, since it is smaller than the sum of its proper divisors (1748295632).

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

1052542960 is a wasteful number, since it uses less digits than its factorization.

1052542960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1052542960 is about 32442.9184877070. The cubic root of 1052542960 is about 1017.2162207891.

The spelling of 1052542960 in words is "one billion, fifty-two million, five hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1361 1381 2722 2762 5444 5524 6805 6905 9527 9667 10888 11048 13610 13810 19054 19334 21776 22096 27220 27620 38108 38668 47635 48335 54440 55240 76216 77336 95270 96670 108880 110480 152432 154672 190540 193340 381080 386680 762160 773360 1879541 3759082 7518164 9397705 13156787 15036328 18795410 26313574 30072656 37590820 52627148 65783935 75181640 105254296 131567870 150363280 210508592 263135740 526271480 1052542960