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162124053 = 371317181193
BaseRepresentation
bin10011010100111…
…01000100010101
3102022001202101120
421222131010111
5313000432203
624030514153
74006013610
oct1152350425
9368052346
10162124053
1183573223
1246365959
13277854c0
1417763177
15e376b53
hex9a9d115

162124053 has 64 divisors (see below), whose sum is σ = 284723712. Its totient is φ = 79626240.

The previous prime is 162124049. The next prime is 162124063. The reversal of 162124053 is 350421261.

It is not a de Polignac number, because 162124053 - 22 = 162124049 is a prime.

It is a super-2 number, since 2×1621240532 = 52568417122293618, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162124063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839925 + ... + 840117.

It is an arithmetic number, because the mean of its divisors is an integer number (4448808).

Almost surely, 2162124053 is an apocalyptic number.

162124053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

162124053 is a deficient number, since it is larger than the sum of its proper divisors (122599659).

162124053 is a wasteful number, since it uses less digits than its factorization.

162124053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 162124053 is about 12732.7943908633. The cubic root of 162124053 is about 545.2752900388.

It can be divided in two parts, 16212 and 4053, that multiplied together give a square (65707236 = 81062).

The spelling of 162124053 in words is "one hundred sixty-two million, one hundred twenty-four thousand, fifty-three".

Divisors: 1 3 7 13 17 21 39 51 91 119 181 193 221 273 357 543 579 663 1267 1351 1547 2353 2509 3077 3281 3801 4053 4641 7059 7527 9231 9843 16471 17563 21539 22967 34933 40001 42653 49413 52689 64617 68901 104799 120003 127959 244531 280007 298571 454129 593861 733593 840021 895713 1362387 1781583 3178903 4157027 7720193 9536709 12471081 23160579 54041351 162124053