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1230945072 = 243723371553
BaseRepresentation
bin100100101011110…
…1011101100110000
310011210020111012020
41021113223230300
510010110220242
6322051231440
742334601100
oct11127535460
93153214166
101230945072
11581922285
122a42a8580
1316803a686
14b96a7200
15730ee6ec
hex495ebb30

1230945072 has 120 divisors (see below), whose sum is σ = 3712481136. Its totient is φ = 350429184.

The previous prime is 1230945043. The next prime is 1230945083. The reversal of 1230945072 is 2705490321.

1230945072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791848 + ... + 793400.

Almost surely, 21230945072 is an apocalyptic number.

1230945072 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 1230945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856240568).

1230945072 is an abundant number, since it is smaller than the sum of its proper divisors (2481536064).

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

1230945072 is a wasteful number, since it uses less digits than its factorization.

1230945072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1230945072 is about 35084.8268059000. The cubic root of 1230945072 is about 1071.7156138406.

The spelling of 1230945072 in words is "one billion, two hundred thirty million, nine hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 337 392 588 674 784 1011 1176 1348 1553 2022 2352 2359 2696 3106 4044 4659 4718 5392 6212 7077 8088 9318 9436 10871 12424 14154 16176 16513 18636 18872 21742 24848 28308 32613 33026 37272 37744 43484 49539 56616 65226 66052 74544 76097 86968 99078 113232 130452 132104 152194 173936 198156 228291 260904 264208 304388 396312 456582 521808 523361 608776 792624 913164 1046722 1217552 1570083 1826328 2093444 3140166 3652656 3663527 4186888 6280332 7327054 8373776 10990581 12560664 14654108 21981162 25121328 25644689 29308216 43962324 51289378 58616432 76934067 87924648 102578756 153868134 175849296 205157512 307736268 410315024 615472536 1230945072