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69122144 = 2572133391
BaseRepresentation
bin1000001111010…
…11100001100000
311211001202202102
410013223201200
5120143402034
610505305532
71466346200
oct407534140
9154052672
1069122144
1136021543
121b1952a8
13114220a0
149274400
15610597e
hex41eb860

69122144 has 72 divisors (see below), whose sum is σ = 170529408. Its totient is φ = 27336960.

The previous prime is 69122111. The next prime is 69122149. The reversal of 69122144 is 44122196.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69122149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18689 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (2368464).

Almost surely, 269122144 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 69122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85264704).

69122144 is an abundant number, since it is smaller than the sum of its proper divisors (101407264).

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

69122144 is a wasteful number, since it uses less digits than its factorization.

69122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3413 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 69122144 is about 8313.9728168909. The cubic root of 69122144 is about 410.3984704322.

The spelling of 69122144 in words is "sixty-nine million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 3391 5096 6782 10192 13564 20384 23737 27128 44083 47474 54256 88166 94948 108512 166159 176332 189896 308581 332318 352664 379792 617162 664636 705328 759584 1234324 1329272 1410656 2160067 2468648 2658544 4320134 4937296 5317088 8640268 9874592 17280536 34561072 69122144