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120134376 = 233217611609
BaseRepresentation
bin1110010100100…
…01101011101000
322101001110101100
413022101223220
5221223300001
615530521400
72656060665
oct712215350
9271043340
10120134376
11618a380a
1234296260
131bb7313b
1411d52a6c
15a830586
hex7291ae8

120134376 has 96 divisors (see below), whose sum is σ = 350368200. Its totient is φ = 37048320.

The previous prime is 120134351. The next prime is 120134381. The reversal of 120134376 is 673431021.

It can be written as a sum of positive squares in 4 ways, for example, as 113934276 + 6200100 = 10674^2 + 2490^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73860 + ... + 75468.

Almost surely, 2120134376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120134376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175184100).

120134376 is an abundant number, since it is smaller than the sum of its proper divisors (230233824).

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

120134376 is a wasteful number, since it uses less digits than its factorization.

120134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 120134376 is about 10960.5828312184. The cubic root of 120134376 is about 493.4264571384.

Adding to 120134376 its reverse (673431021), we get a palindrome (793565397).

The spelling of 120134376 in words is "one hundred twenty million, one hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 1037 1098 1224 1464 1609 2074 2196 3111 3218 4148 4392 4827 6222 6436 8296 9333 9654 12444 12872 14481 18666 19308 24888 27353 28962 37332 38616 54706 57924 74664 82059 98149 109412 115848 164118 196298 218824 246177 294447 328236 392596 492354 588894 656472 785192 883341 984708 1177788 1668533 1766682 1969416 2355576 3337066 3533364 5005599 6674132 7066728 10011198 13348264 15016797 20022396 30033594 40044792 60067188 120134376