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69893136 = 24322347449
BaseRepresentation
bin1000010101001…
…11110000010000
311212111221100200
410022213300100
5120343040021
610534015200
71506040035
oct412476020
9155457320
1069893136
11364a8825
121b4a7500
1311631cb1
1493d538c
156209126
hex42a7c10

69893136 has 120 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 21762048.

The previous prime is 69893107. The next prime is 69893237. The reversal of 69893136 is 63139896.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 69893091 and 69893100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155440 + ... + 155888.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 269893136 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 69893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

69893136 is an abundant number, since it is smaller than the sum of its proper divisors (139022064).

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

69893136 is a wasteful number, since it uses less digits than its factorization.

69893136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 69893136 is about 8360.2114805787. The cubic root of 69893136 is about 411.9187007712.

The spelling of 69893136 in words is "sixty-nine million, eight hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 449 552 564 752 828 846 898 1081 1104 1128 1347 1656 1692 1796 2162 2256 2694 3243 3312 3384 3592 4041 4324 5388 6486 6768 7184 8082 8648 9729 10327 10776 12972 16164 17296 19458 20654 21103 21552 25944 30981 32328 38916 41308 42206 51888 61962 63309 64656 77832 82616 84412 92943 123924 126618 155664 165232 168824 185886 189927 247848 253236 337648 371772 379854 485369 495696 506472 743544 759708 970738 1012944 1456107 1487088 1519416 1941476 2912214 3038832 3882952 4368321 5824428 7765904 8736642 11648856 17473284 23297712 34946568 69893136