Search a number
-
+
120648192 = 29373229
BaseRepresentation
bin1110011000011…
…11001000000000
322102000120012120
413030033020000
5221341220232
615545524240
72663331000
oct714171000
9272016176
10120648192
1162114855
12344a3680
131bcc2c82
1412048000
15a8d292c
hex730f200

120648192 has 160 divisors (see below), whose sum is σ = 376464000. Its totient is φ = 34320384.

The previous prime is 120648191. The next prime is 120648197. The reversal of 120648192 is 291846021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120648191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526734 + ... + 526962.

It is an arithmetic number, because the mean of its divisors is an integer number (2352900).

Almost surely, 2120648192 is an apocalyptic number.

120648192 is a gapful number since it is divisible by the number (12) 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 120648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188232000).

120648192 is an abundant number, since it is smaller than the sum of its proper divisors (255815808).

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

120648192 is an frugal number, since it uses more digits than its factorization.

120648192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 120648192 is about 10983.9970866711. The cubic root of 120648192 is about 494.1289200043.

The spelling of 120648192 in words is "one hundred twenty million, six hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 229 256 294 336 343 384 392 448 458 512 588 672 686 687 768 784 896 916 1029 1176 1344 1372 1374 1536 1568 1603 1792 1832 2058 2352 2688 2744 2748 3136 3206 3584 3664 4116 4704 4809 5376 5488 5496 6272 6412 7328 8232 9408 9618 10752 10976 10992 11221 12544 12824 14656 16464 18816 19236 21952 21984 22442 25088 25648 29312 32928 33663 37632 38472 43904 43968 44884 51296 58624 65856 67326 75264 76944 78547 87808 87936 89768 102592 117248 131712 134652 153888 157094 175616 175872 179536 205184 235641 263424 269304 307776 314188 351744 359072 410368 471282 526848 538608 615552 628376 718144 820736 942564 1077216 1231104 1256752 1436288 1885128 2154432 2462208 2513504 2872576 3770256 4308864 5027008 5745152 7540512 8617728 10054016 15081024 17235456 20108032 30162048 40216064 60324096 120648192