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1468012032 = 29331031031
BaseRepresentation
bin101011110000000…
…0001011000000000
310210022022201221000
41113200001120000
511001302341112
6401400332000
751243616314
oct12740013000
93708281830
101468012032
11693722193
1234b774000
131a51a2496
14dcd77b44
1588d2b7dc
hex57801600

1468012032 has 160 divisors (see below), whose sum is σ = 4391861760. Its totient is φ = 484116480.

The previous prime is 1468012019. The next prime is 1468012043. The reversal of 1468012032 is 2302108641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1468011987 and 1468012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423357 + ... + 1424387.

It is an arithmetic number, because the mean of its divisors is an integer number (27449136).

Almost surely, 21468012032 is an apocalyptic number.

1468012032 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 1468012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195930880).

1468012032 is an abundant number, since it is smaller than the sum of its proper divisors (2923849728).

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

1468012032 is a wasteful number, since it uses less digits than its factorization.

1468012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1468012032 is about 38314.6451373362. The cubic root of 1468012032 is about 1136.5185756430.

The spelling of 1468012032 in words is "one billion, four hundred sixty-eight million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 512 576 618 768 824 864 927 1031 1152 1236 1536 1648 1728 1854 2062 2304 2472 2781 3093 3296 3456 3708 4124 4608 4944 5562 6186 6592 6912 7416 8248 9279 9888 11124 12372 13184 13824 14832 16496 18558 19776 22248 24744 26368 27837 29664 32992 37116 39552 44496 49488 52736 55674 59328 65984 74232 79104 88992 98976 106193 111348 118656 131968 148464 158208 177984 197952 212386 222696 237312 263936 296928 318579 355968 395904 424772 445392 474624 527872 593856 637158 711936 791808 849544 890784 955737 1187712 1274316 1423872 1583616 1699088 1781568 1911474 2375424 2548632 2867211 3398176 3563136 3822948 4750848 5097264 5734422 6796352 7126272 7645896 10194528 11468844 13592704 14252544 15291792 20389056 22937688 27185408 30583584 40778112 45875376 54370816 61167168 81556224 91750752 122334336 163112448 183501504 244668672 367003008 489337344 734006016 1468012032