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69146244 = 223319311087
BaseRepresentation
bin1000001111100…
…01011010000100
311211002222211000
410013301122010
5120200134434
610510013300
71466506356
oct407613204
9154088730
1069146244
1136038662
121b1a7230
131143004b
14927d0d6
15610cb99
hex41f1684

69146244 has 96 divisors (see below), whose sum is σ = 194969600. Its totient is φ = 21111840.

The previous prime is 69146227. The next prime is 69146249. The reversal of 69146244 is 44264196.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 69146199 and 69146208.

It is not an unprimeable number, because it can be changed into a prime (69146249) 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 31 ways as a sum of consecutive naturals, for example, 63069 + ... + 64155.

Almost surely, 269146244 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 69146244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97484800).

69146244 is an abundant number, since it is smaller than the sum of its proper divisors (125823356).

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

69146244 is a wasteful number, since it uses less digits than its factorization.

69146244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 69146244 is about 8315.4220578393. The cubic root of 69146244 is about 410.4461611495.

The spelling of 69146244 in words is "sixty-nine million, one hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1087 1116 1178 1674 1767 2052 2174 2356 3261 3348 3534 4348 5301 6522 7068 9783 10602 13044 15903 19566 20653 21204 29349 31806 33697 39132 41306 58698 61959 63612 67394 82612 101091 117396 123918 134788 185877 202182 247836 303273 371754 404364 557631 606546 640243 743508 909819 1115262 1213092 1280486 1819638 1920729 2230524 2560972 3639276 3841458 5762187 7682916 11524374 17286561 23048748 34573122 69146244