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69139400 = 23521122857
BaseRepresentation
bin1000001111011…
…11101111001000
311211002122102112
410013233233020
5120144430100
610505521452
71466450411
oct407575710
9154078375
1069139400
1136033500
121b1a3288
1311429bb5
14927a808
15610ab35
hex41efbc8

69139400 has 72 divisors (see below), whose sum is σ = 176753010. Its totient is φ = 25132800.

The previous prime is 69139373. The next prime is 69139409. The reversal of 69139400 is 493196.

It can be written as a sum of positive squares in 3 ways, for example, as 56280004 + 12859396 = 7502^2 + 3586^2 .

It is not an unprimeable number, because it can be changed into a prime (69139409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22772 + ... + 25628.

Almost surely, 269139400 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 69139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88376505).

69139400 is an abundant number, since it is smaller than the sum of its proper divisors (107613610).

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

69139400 is a wasteful number, since it uses less digits than its factorization.

69139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 69139400 is about 8315.0105231443. The cubic root of 69139400 is about 410.4326189041.

The spelling of 69139400 in words is "sixty-nine million, one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 2857 3025 4840 5714 6050 11428 12100 14285 22856 24200 28570 31427 57140 62854 71425 114280 125708 142850 157135 251416 285700 314270 345697 571400 628540 691394 785675 1257080 1382788 1571350 1728485 2765576 3142700 3456970 6285400 6913940 8642425 13827880 17284850 34569700 69139400