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120761970 = 23572113727
BaseRepresentation
bin1110011001010…
…10111001110010
322102020100021120
413030222321302
5221403340340
615552203110
72664313500
oct714527162
9272210246
10120761970
116219228a
1234539496
131c0329b4
1412077670
15a9064d0
hex732ae72

120761970 has 96 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 27320832.

The previous prime is 120761947. The next prime is 120762011. The reversal of 120761970 is 79167021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165747 + ... + 166473.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908).

Almost surely, 2120761970 is an apocalyptic number.

120761970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120761970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

120761970 is an abundant number, since it is smaller than the sum of its proper divisors (219837198).

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

120761970 is a wasteful number, since it uses less digits than its factorization.

120761970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 120761970 is about 10989.1751282796. The cubic root of 120761970 is about 494.2842016138.

The spelling of 120761970 in words is "one hundred twenty million, seven hundred sixty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 678 727 735 791 1130 1454 1470 1582 1695 2181 2373 3390 3635 3955 4362 4746 5089 5537 7270 7910 10178 10905 11074 11865 15267 16611 21810 23730 25445 27685 30534 33222 35623 50890 55370 71246 76335 82151 83055 106869 152670 164302 166110 178115 213738 246453 356230 410755 492906 534345 575057 821510 1068690 1150114 1232265 1725171 2464530 2875285 3450342 4025399 5750570 8050798 8625855 12076197 17251710 20126995 24152394 40253990 60380985 120761970