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60088896 = 2632722129
BaseRepresentation
bin1110010100111…
…0001001000000
311012001211110200
43211032021000
5110340321041
65543525200
71326514200
oct345161100
9135054420
1060088896
1130a1174a
1218159800
13c5ab57a
147da2400
15541e1b6
hex394e240

60088896 has 126 divisors (see below), whose sum is σ = 200447910. Its totient is φ = 17160192.

The previous prime is 60088877. The next prime is 60088921. The reversal of 60088896 is 69888006.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 14930496 = 6720^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×600888962 = 7221350844997632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27160 + ... + 29288.

Almost surely, 260088896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100223955).

60088896 is an abundant number, since it is smaller than the sum of its proper divisors (140359014).

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

60088896 is a wasteful number, since it uses less digits than its factorization.

60088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 60088896 is about 7751.7027806799. The cubic root of 60088896 is about 391.6800109733.

The spelling of 60088896 in words is "sixty million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2129 2352 3136 3528 4032 4258 4704 6387 7056 8516 9408 12774 14112 14903 17032 19161 25548 28224 29806 34064 38322 44709 51096 59612 68128 76644 89418 102192 104321 119224 134127 136256 153288 178836 204384 208642 238448 268254 306576 312963 357672 408768 417284 476896 536508 613152 625926 715344 834568 938889 953792 1073016 1226304 1251852 1430688 1669136 1877778 2146032 2503704 2861376 3338272 3755556 4292064 5007408 6676544 7511112 8584128 10014816 15022224 20029632 30044448 60088896