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169428480 = 2935131697
BaseRepresentation
bin10100001100101…
…00011000000000
3102210210212011220
422012110120000
5321333202410
624451235040
74125055404
oct1206243000
9383725156
10169428480
1187702141
12488a8a80
1329142150
1418705104
15ed1b070
hexa194600

169428480 has 160 divisors (see below), whose sum is σ = 583650144. Its totient is φ = 41680896.

The previous prime is 169428473. The next prime is 169428559. The reversal of 169428480 is 84824961.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1694284802 = 57412019670220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98992 + ... + 100688.

Almost surely, 2169428480 is an apocalyptic number.

169428480 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 169428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291825072).

169428480 is an abundant number, since it is smaller than the sum of its proper divisors (414221664).

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

169428480 is a wasteful number, since it uses less digits than its factorization.

169428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 169428480 is about 13016.4695674365. The cubic root of 169428480 is about 553.3443393885.

The spelling of 169428480 in words is "one hundred sixty-nine million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1697 1920 2080 2496 2560 3120 3328 3394 3840 4160 4992 5091 6240 6656 6788 7680 8320 8485 9984 10182 12480 13576 16640 16970 19968 20364 22061 24960 25455 27152 33280 33940 40728 44122 49920 50910 54304 66183 67880 81456 88244 99840 101820 108608 110305 132366 135760 162912 176488 203640 217216 220610 264732 271520 325824 330915 352976 407280 434432 441220 529464 543040 651648 661830 705952 814560 868864 882440 1058928 1086080 1303296 1323660 1411904 1629120 1764880 2117856 2172160 2606592 2647320 2823808 3258240 3529760 4235712 4344320 5294640 5647616 6516480 7059520 8471424 10589280 11295232 13032960 14119040 16942848 21178560 28238080 33885696 42357120 56476160 84714240 169428480