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120641136 = 24372114663
BaseRepresentation
bin1110011000011…
…01011001110000
322102000012112020
413030031121300
5221341004021
615545431440
72663301300
oct714153160
9272005466
10120641136
116210a520
123449b580
131bcbc9b5
1412045600
15a8d07c6
hex730d670

120641136 has 120 divisors (see below), whose sum is σ = 395581824. Its totient is φ = 31328640.

The previous prime is 120641117. The next prime is 120641159. The reversal of 120641136 is 631146021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 23541 + ... + 28203.

Almost surely, 2120641136 is an apocalyptic number.

120641136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197790912).

120641136 is an abundant number, since it is smaller than the sum of its proper divisors (274940688).

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

120641136 is a wasteful number, since it uses less digits than its factorization.

120641136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120641136 is about 10983.6758874249. The cubic root of 120641136 is about 494.1192869227.

Adding to 120641136 its reverse (631146021), we get a palindrome (751787157).

The spelling of 120641136 in words is "one hundred twenty million, six hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 4663 6468 8624 9326 12936 13989 18652 25872 27978 32641 37304 51293 55956 65282 74608 97923 102586 111912 130564 153879 195846 205172 223824 228487 261128 307758 359051 391692 410344 456974 522256 615516 685461 718102 783384 820688 913948 1077153 1231032 1370922 1436204 1566768 1827896 2154306 2462064 2513357 2741844 2872408 3655792 4308612 5026714 5483688 5744816 7540071 8617224 10053428 10967376 15080142 17234448 20106856 30160284 40213712 60320568 120641136