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1020243525 = 352717791447
BaseRepresentation
bin111100110011111…
…010111001000101
32122002202202000020
4330303322321011
54042140243100
6245123205353
734165632630
oct7463727105
92562682006
101020243525
114839a0074
12245816859
131334a73c2
14996dac17
155e87e5a0
hex3ccfae45

1020243525 has 96 divisors (see below), whose sum is σ = 2068439040. Its totient is φ = 433105920.

The previous prime is 1020243503. The next prime is 1020243527. The reversal of 1020243525 is 5253420201.

It is not a de Polignac number, because 1020243525 - 25 = 1020243493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020243495 and 1020243504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020243527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704352 + ... + 705798.

It is an arithmetic number, because the mean of its divisors is an integer number (21546240).

Almost surely, 21020243525 is an apocalyptic number.

1020243525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020243525 is an abundant number, since it is smaller than the sum of its proper divisors (1048195515).

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

1020243525 is a wasteful number, since it uses less digits than its factorization.

1020243525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1020243525 is about 31941.2511495715. The cubic root of 1020243525 is about 1006.7028135761.

Adding to 1020243525 its reverse (5253420201), we get a palindrome (6273663726).

The spelling of 1020243525 in words is "one billion, twenty million, two hundred forty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 79 85 105 119 175 237 255 357 395 425 525 553 595 1185 1275 1343 1447 1659 1785 1975 2765 2975 4029 4341 5925 6715 7235 8295 8925 9401 10129 13825 20145 21705 24599 28203 30387 33575 36175 41475 47005 50645 73797 100725 108525 114313 122995 141015 151935 172193 235025 253225 342939 368985 516579 571565 614975 705075 759675 800191 860965 1714695 1844925 1943321 2400573 2582895 2857825 4000955 4304825 5829963 8573475 9716605 12002865 12914475 13603247 20004775 29149815 40809741 48583025 60014325 68016235 145749075 204048705 340081175 1020243525