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69389136 = 2438661
BaseRepresentation
bin1000010001011…
…00101101010000
311211120100000000
410020230231100
5120230423021
610515130000
71501540455
oct410545520
9154510000
1069389136
11361940a3
121b2a3900
13114b677b
14930382c
156159b26
hex422cb50

69389136 has 90 divisors (see below), whose sum is σ = 201957002. Its totient is φ = 23094720.

The previous prime is 69389107. The next prime is 69389149. The reversal of 69389136 is 63198396.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 3779136 = 8100^2 + 1944^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 = 69389091 and 69389100.

It is a congruent number.

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, 104646 + ... + 105306.

Almost surely, 269389136 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 69389136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100978501).

69389136 is an abundant number, since it is smaller than the sum of its proper divisors (132567866).

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

69389136 is an frugal number, since it uses more digits than its factorization.

69389136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 666 counting only the distinct ones).

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

The square root of 69389136 is about 8330.0141656542. The cubic root of 69389136 is about 410.9261948564.

The spelling of 69389136 in words is "sixty-nine million, three hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 661 729 972 1296 1322 1458 1944 1983 2187 2644 2916 3888 3966 4374 5288 5832 5949 6561 7932 8748 10576 11664 11898 13122 15864 17496 17847 23796 26244 31728 34992 35694 47592 52488 53541 71388 95184 104976 107082 142776 160623 214164 285552 321246 428328 481869 642492 856656 963738 1284984 1445607 1927476 2569968 2891214 3854952 4336821 5782428 7709904 8673642 11564856 17347284 23129712 34694568 69389136