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120961080 = 23335472383
BaseRepresentation
bin1110011010110…
…11100000111000
322102121110102000
413031123200320
5221431223310
620000341000
72666103132
oct715334070
9272543360
10120961080
1162308939
1234614760
131c0a2506
14120ca052
15a9454c0
hex735b838

120961080 has 128 divisors (see below), whose sum is σ = 411955200. Its totient is φ = 31556736.

The previous prime is 120961079. The next prime is 120961097. The reversal of 120961080 is 80169021.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49569 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (3218400).

Almost surely, 2120961080 is an apocalyptic number.

120961080 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 120961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205977600).

120961080 is an abundant number, since it is smaller than the sum of its proper divisors (290994120).

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

120961080 is a wasteful number, since it uses less digits than its factorization.

120961080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120961080 is about 10998.2307668097. The cubic root of 120961080 is about 494.5557078603. Note that the first 3 decimals are identical.

The spelling of 120961080 in words is "one hundred twenty million, nine hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2383 2538 2820 3384 4230 4766 5076 5640 6345 7149 8460 9532 10152 11915 12690 14298 16920 19064 21447 23830 25380 28596 35745 42894 47660 50760 57192 64341 71490 85788 95320 107235 112001 128682 142980 171576 214470 224002 257364 285960 321705 336003 428940 448004 514728 560005 643410 672006 857880 896008 1008009 1120010 1286820 1344012 1680015 2016018 2240020 2573640 2688024 3024027 3360030 4032036 4480040 5040045 6048054 6720060 8064072 10080090 12096108 13440120 15120135 20160180 24192216 30240270 40320360 60480540 120961080