Search a number
-
+
15097060140 = 22353121072447
BaseRepresentation
bin11100000111101101…
…01101101100101100
31102222010210010011120
432003312231230230
5221404321411030
610534022220540
71043055615411
oct160366555454
942863703146
1015097060140
116447995808
122b13b84750
1315679a06a6
14a3308c108
155d55d8010
hex383dadb2c

15097060140 has 144 divisors (see below), whose sum is σ = 44105596416. Its totient is φ = 3858026880.

The previous prime is 15097060127. The next prime is 15097060141. The reversal of 15097060140 is 4106079051.

It is not an unprimeable number, because it can be changed into a prime (15097060141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6168397 + ... + 6170843.

It is an arithmetic number, because the mean of its divisors is an integer number (306288864).

Almost surely, 215097060140 is an apocalyptic number.

15097060140 is a gapful number since it is divisible by the number (10) 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 15097060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052798208).

15097060140 is an abundant number, since it is smaller than the sum of its proper divisors (29008536276).

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

15097060140 is a wasteful number, since it uses less digits than its factorization.

15097060140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 15097060140 in words is "fifteen billion, ninety-seven million, sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 310 321 372 428 465 535 620 642 930 961 1070 1284 1605 1860 1922 2140 2447 2883 3210 3317 3844 4805 4894 5766 6420 6634 7341 9610 9788 9951 11532 12235 13268 14415 14682 16585 19220 19902 24470 28830 29364 33170 36705 39804 48940 49755 57660 66340 73410 75857 99510 102827 146820 151714 199020 205654 227571 261829 303428 308481 379285 411308 455142 514135 523658 616962 758570 785487 910284 1028270 1047316 1137855 1233924 1309145 1517140 1542405 1570974 2056540 2275710 2351567 2618290 3084810 3141948 3927435 4551420 4703134 5236580 6169620 7054701 7854870 8116699 9406268 11757835 14109402 15709740 16233398 23515670 24350097 28218804 32466796 35273505 40583495 47031340 48700194 70547010 81166990 97400388 121750485 141094020 162333980 243500970 251617669 487001940 503235338 754853007 1006470676 1258088345 1509706014 2516176690 3019412028 3774265035 5032353380 7548530070 15097060140