Search a number
-
+
8103845120 = 28576114827
BaseRepresentation
bin1111000110000011…
…01101110100000000
3202220202210222121212
413203001231310000
5113044041020440
63420045305252
7404551355420
oct74301556400
922822728555
108103845120
113489455868
1216a1b65228
139c1c01b37
1456c3ba480
153266ae465
hex1e306dd00

8103845120 has 144 divisors (see below), whose sum is σ = 22549473408. Its totient is φ = 2732728320.

The previous prime is 8103845111. The next prime is 8103845131. The reversal of 8103845120 is 215483018.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 539147 + ... + 553973.

Almost surely, 28103845120 is an apocalyptic number.

8103845120 is a gapful number since it is divisible by the number (80) 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 8103845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274736704).

8103845120 is an abundant number, since it is smaller than the sum of its proper divisors (14445628288).

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

8103845120 is a wasteful number, since it uses less digits than its factorization.

8103845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14902 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8103845120 is about 90021.3592432374. The cubic root of 8103845120 is about 2008.6165839288.

The spelling of 8103845120 in words is "eight billion, one hundred three million, eight hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 256 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1280 1708 1792 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 8960 9760 13664 14827 15616 17080 19520 27328 29654 34160 39040 54656 59308 68320 74135 78080 103789 109312 118616 136640 148270 207578 237232 273280 296540 415156 474464 518945 546560 593080 830312 904447 948928 1037890 1186160 1660624 1808894 1897856 2075780 2372320 3321248 3617788 3795712 4151560 4522235 4744640 6331129 6642496 7235576 8303120 9044470 9489280 12662258 13284992 14471152 16606240 18088940 18978560 25324516 26569984 28942304 31655645 33212480 36177880 50649032 57884608 63311290 66424960 72355760 101298064 115769216 126622580 132849920 144711520 202596128 231538432 253245160 289423040 405192256 506490320 578846080 810384512 1012980640 1157692160 1620769024 2025961280 4051922560 8103845120