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166949120 = 2851379127
BaseRepresentation
bin10011111001101…
…11000100000000
3102122010220010202
421330313010000
5320214332440
624322144332
74065021062
oct1174670400
9378126122
10166949120
1186269388
1247ab20a8
1328784780
141825b732
15e9cb615
hex9f37100

166949120 has 144 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 60383232.

The previous prime is 166949117. The next prime is 166949141. The reversal of 166949120 is 21949661.

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, 1314497 + ... + 1314623.

Almost surely, 2166949120 is an apocalyptic number.

166949120 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 166949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

166949120 is an abundant number, since it is smaller than the sum of its proper divisors (272592640).

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

166949120 is a wasteful number, since it uses less digits than its factorization.

166949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 166949120 is about 12920.8792270495. The cubic root of 166949120 is about 550.6319128153.

The spelling of 166949120 in words is "one hundred sixty-six million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 79 80 104 127 128 130 158 160 208 254 256 260 316 320 395 416 508 520 632 635 640 790 832 1016 1027 1040 1264 1270 1280 1580 1651 1664 2032 2054 2080 2528 2540 3160 3302 3328 4064 4108 4160 5056 5080 5135 6320 6604 8128 8216 8255 8320 10033 10112 10160 10270 12640 13208 16256 16432 16510 16640 20066 20224 20320 20540 25280 26416 32512 32864 33020 40132 40640 41080 50165 50560 52832 65728 66040 80264 81280 82160 100330 101120 105664 130429 131456 132080 160528 162560 164320 200660 211328 260858 262912 264160 321056 328640 401320 422656 521716 528320 642112 652145 657280 802640 1043432 1056640 1284224 1304290 1314560 1605280 2086864 2113280 2568448 2608580 3210560 4173728 5217160 6421120 8347456 10434320 12842240 16694912 20868640 33389824 41737280 83474560 166949120