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169000440 = 233571910589
BaseRepresentation
bin10100001001010…
…11110111111000
3102210000010000120
422010223313320
5321231003230
624434133240
74121323440
oct1204536770
9383003016
10169000440
118743a594
1248721220
132902237b
1418633120
15ec84310
hexa12bdf8

169000440 has 128 divisors (see below), whose sum is σ = 609984000. Its totient is φ = 36592128.

The previous prime is 169000399. The next prime is 169000463. The reversal of 169000440 is 44000961.

It is a super-2 number, since 2×1690004402 = 57122297440387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 169000440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666 + ... + 21254.

It is an arithmetic number, because the mean of its divisors is an integer number (4765500).

Almost surely, 2169000440 is an apocalyptic number.

169000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304992000).

169000440 is an abundant number, since it is smaller than the sum of its proper divisors (440983560).

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

169000440 is a wasteful number, since it uses less digits than its factorization.

169000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 169000440 is about 13000.0169230659. The cubic root of 169000440 is about 552.8779611822.

The spelling of 169000440 in words is "one hundred sixty-nine million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 10589 15960 21178 31767 42356 52945 63534 74123 84712 105890 127068 148246 158835 201191 211780 222369 254136 296492 317670 370615 402382 423560 444738 592984 603573 635340 741230 804764 889476 1005955 1111845 1207146 1270680 1408337 1482460 1609528 1778952 2011910 2223690 2414292 2816674 2964920 3017865 4023820 4225011 4447380 4828584 5633348 6035730 7041685 8047640 8450022 8894760 11266696 12071460 14083370 16900044 21125055 24142920 28166740 33800088 42250110 56333480 84500220 169000440