Search a number
-
+
1145279872 = 271119311381
BaseRepresentation
bin100010001000011…
…1001010110000000
32221211001020122001
41010100321112000
54321142423442
6305351153344
740244501242
oct10420712600
92854036561
101145279872
115385317a0
1227b675854
131533757c9
14ac168092
156a82c2b7
hex44439580

1145279872 has 128 divisors (see below), whose sum is σ = 2706508800. Its totient is φ = 476928000.

The previous prime is 1145279801. The next prime is 1145279893. The reversal of 1145279872 is 2789725411.

It is a tau number, because it is divible by the number of its divisors (128).

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, 828622 + ... + 830002.

It is an arithmetic number, because the mean of its divisors is an integer number (21144600).

Almost surely, 21145279872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353254400).

1145279872 is an abundant number, since it is smaller than the sum of its proper divisors (1561228928).

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

1145279872 is a wasteful number, since it uses less digits than its factorization.

1145279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1444 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 1145279872 is about 33841.9838661979. The cubic root of 1145279872 is about 1046.2541879267.

The spelling of 1145279872 in words is "one billion, one hundred forty-five million, two hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 64 76 88 124 128 152 176 209 248 304 341 352 418 496 589 608 682 704 836 992 1178 1216 1364 1381 1408 1672 1984 2356 2432 2728 2762 3344 3968 4712 5456 5524 6479 6688 9424 10912 11048 12958 13376 15191 18848 21824 22096 25916 26239 26752 30382 37696 42811 43648 44192 51832 52478 60764 75392 85622 88384 103664 104956 121528 171244 176768 207328 209912 243056 288629 342488 414656 419824 470921 486112 577258 684976 813409 829312 839648 941842 972224 1154516 1369952 1626818 1679296 1883684 1944448 2309032 2739904 3253636 3358592 3767368 4618064 5479808 6507272 7534736 8947499 9236128 13014544 15069472 17894998 18472256 26029088 30138944 35789996 36944512 52058176 60277888 71579992 104116352 143159984 286319968 572639936 1145279872