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120137670 = 23256179277
BaseRepresentation
bin1110010100100…
…10011111000110
322101001121220100
413022102133012
5221223401140
615530544530
72656103412
oct712223706
9271047810
10120137670
11618a6234
1234298146
131bb747a3
1411d53d42
15a831530
hex72927c6

120137670 has 96 divisors (see below), whose sum is σ = 322657920. Its totient is φ = 31000320.

The previous prime is 120137669. The next prime is 120137681. The reversal of 120137670 is 76731021.

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, 433572 + ... + 433848.

It is an arithmetic number, because the mean of its divisors is an integer number (3361020).

Almost surely, 2120137670 is an apocalyptic number.

120137670 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 120137670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161328960).

120137670 is an abundant number, since it is smaller than the sum of its proper divisors (202520250).

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

120137670 is a wasteful number, since it uses less digits than its factorization.

120137670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 120137670 is about 10960.7330959202. The cubic root of 120137670 is about 493.4309668992.

Adding to 120137670 its reverse (76731021), we get a palindrome (196868691).

It can be divided in two parts, 12013 and 7670, that added together give a 9-th power (19683 = 39).

The spelling of 120137670 in words is "one hundred twenty million, one hundred thirty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 79 90 122 158 183 237 277 305 366 395 474 549 554 610 711 790 831 915 1098 1185 1385 1422 1662 1830 2370 2493 2745 2770 3555 4155 4819 4986 5490 7110 8310 9638 12465 14457 16897 21883 24095 24930 28914 33794 43371 43766 48190 50691 65649 72285 84485 86742 101382 109415 131298 144570 152073 168970 196947 216855 218830 253455 304146 328245 393894 433710 506910 656490 760365 984735 1334863 1520730 1969470 2669726 4004589 6674315 8009178 12013767 13348630 20022945 24027534 40045890 60068835 120137670