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1368152010 = 2325172232287
BaseRepresentation
bin101000110001100…
…0101011111001010
310112100102022201200
41101203011133022
510300221331020
6343432125030
745622046241
oct12143053712
93470368650
101368152010
11642316945
12322236776
1318a5aa604
14cd9c1958
15801a3590
hex518c57ca

1368152010 has 144 divisors (see below), whose sum is σ = 3944768256. Its totient is φ = 328306176.

The previous prime is 1368151979. The next prime is 1368152041. The reversal of 1368152010 is 102518631.

1368152010 is a `hidden beast` number, since 136 + 8 + 1 + 520 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1368151979) and next prime (1368152041).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 597087 + ... + 599373.

It is an arithmetic number, because the mean of its divisors is an integer number (27394224).

Almost surely, 21368152010 is an apocalyptic number.

1368152010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368152010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972384128).

1368152010 is an abundant number, since it is smaller than the sum of its proper divisors (2576616246).

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

1368152010 is a wasteful number, since it uses less digits than its factorization.

1368152010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1368152010 is about 36988.5389005838. The cubic root of 1368152010 is about 1110.1409365725.

The spelling of 1368152010 in words is "one billion, three hundred sixty-eight million, one hundred fifty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 289 306 345 391 414 510 578 690 765 782 867 1035 1173 1445 1530 1734 1955 2070 2287 2346 2601 2890 3519 3910 4335 4574 5202 5865 6647 6861 7038 8670 11435 11730 13005 13294 13722 17595 19941 20583 22870 26010 33235 34305 35190 38879 39882 41166 52601 59823 66470 68610 77758 99705 102915 105202 116637 119646 157803 194395 199410 205830 233274 263005 299115 315606 349911 388790 473409 526010 583185 598230 660943 699822 789015 894217 946818 1166370 1321886 1578030 1749555 1788434 1982829 2367045 2682651 3304715 3499110 3965658 4471085 4734090 5365302 5948487 6609430 8047953 8942170 9914145 11896974 13413255 15201689 16095906 19828290 26826510 29742435 30403378 40239765 45605067 59484870 76008445 80479530 91210134 136815201 152016890 228025335 273630402 456050670 684076005 1368152010