[go: up one dir, main page]

Search a number
-
+
120353130 = 232543137227
BaseRepresentation
bin1110010110001…
…11000101101010
322101110120110100
413023013011222
5221302300010
615535330230
72660661522
oct713070552
9271416410
10120353130
1161a330a7
1234380976
131bc1b891
1411dac682
15a8752c0
hex72c716a

120353130 has 96 divisors (see below), whose sum is σ = 323953344. Its totient is φ = 30981888.

The previous prime is 120353083. The next prime is 120353179. The reversal of 120353130 is 31353021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 530077 + ... + 530303.

It is an arithmetic number, because the mean of its divisors is an integer number (3374514).

Almost surely, 2120353130 is an apocalyptic number.

120353130 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 120353130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161976672).

120353130 is an abundant number, since it is smaller than the sum of its proper divisors (203600214).

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

120353130 is a wasteful number, since it uses less digits than its factorization.

120353130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 120353130 is about 10970.5574151909. The cubic root of 120353130 is about 493.7257707493.

The spelling of 120353130 in words is "one hundred twenty million, three hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 137 215 227 258 274 387 411 430 454 645 681 685 774 822 1135 1233 1290 1362 1370 1935 2043 2055 2270 2466 3405 3870 4086 4110 5891 6165 6810 9761 10215 11782 12330 17673 19522 20430 29283 29455 31099 35346 48805 53019 58566 58910 62198 87849 88365 93297 97610 106038 146415 155495 175698 176730 186594 265095 279891 292830 310990 439245 466485 530190 559782 878490 932970 1337257 1399455 2674514 2798910 4011771 6686285 8023542 12035313 13372570 20058855 24070626 40117710 60176565 120353130