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69388900 = 225274172
BaseRepresentation
bin1000010001011…
…00101001100100
311211120022200021
410020230221210
5120230421100
610515124524
71501540000
oct410545144
9154508607
1069388900
11361939a9
121b2a3744
13114b6629
149303700
156159a1a
hex422ca64

69388900 has 135 divisors (see below), whose sum is σ = 186599819. Its totient is φ = 22391040.

The previous prime is 69388877. The next prime is 69388927. The reversal of 69388900 is 988396.

The square root of 69388900 is 8330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1623076 + 67765824 = 1274^2 + 8232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4081692 + ... + 4081708.

Almost surely, 269388900 is an apocalyptic number.

69388900 is the 8330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69388900

69388900 is an abundant number, since it is smaller than the sum of its proper divisors (117210919).

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

69388900 is a wasteful number, since it uses less digits than its factorization.

69388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 69388900 is about 410.9257289876.

The spelling of 69388900 in words is "sixty-nine million, three hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 289 340 343 350 425 476 490 578 595 686 700 833 850 980 1156 1190 1225 1372 1445 1666 1700 1715 2023 2380 2401 2450 2890 2975 3332 3430 4046 4165 4802 4900 5780 5831 5950 6860 7225 8092 8330 8575 9604 10115 11662 11900 12005 14161 14450 16660 17150 20230 20825 23324 24010 28322 28900 29155 34300 40460 40817 41650 48020 50575 56644 58310 60025 70805 81634 83300 99127 101150 116620 120050 141610 145775 163268 198254 202300 204085 240100 283220 291550 354025 396508 408170 495635 583100 693889 708050 816340 991270 1020425 1387778 1416100 1982540 2040850 2478175 2775556 3469445 4081700 4956350 6938890 9912700 13877780 17347225 34694450 69388900