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120947190 = 23572136329
BaseRepresentation
bin1110011010110…
…00000111110110
322102120202100120
413031120013312
5221430302230
620000152410
72666014500
oct715300766
9272522316
10120947190
11622a9461
1234608706
131c0990b0
14120c4d70
15a941310
hex73581f6

120947190 has 96 divisors (see below), whose sum is σ = 363696480. Its totient is φ = 25514496.

The previous prime is 120947161. The next prime is 120947221. The reversal of 120947190 is 91749021.

It is a super-2 number, since 2×1209471902 = 29256445537792200, 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 47 ways as a sum of consecutive naturals, for example, 15946 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (3788505).

Almost surely, 2120947190 is an apocalyptic number.

120947190 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 120947190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181848240).

120947190 is an abundant number, since it is smaller than the sum of its proper divisors (242749290).

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

120947190 is a wasteful number, since it uses less digits than its factorization.

120947190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 120947190 is about 10997.5992834800. The cubic root of 120947190 is about 494.5367771382.

The spelling of 120947190 in words is "one hundred twenty million, nine hundred forty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6329 6370 9555 12658 18987 19110 31645 37974 44303 63290 82277 88606 94935 132909 164554 189870 221515 246831 265818 310121 411385 443030 493662 575939 620242 664545 822770 930363 1151878 1234155 1329090 1550605 1727817 1860726 2468310 2879695 3101210 3455634 4031573 4651815 5759390 8063146 8639085 9303630 12094719 17278170 20157865 24189438 40315730 60473595 120947190