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1260226560 = 2113541023
BaseRepresentation
bin100101100011101…
…1000100000000000
310020211100010211210
41023013120200000
510040104222220
6325015010120
743141514625
oct11307304000
93224303753
101260226560
1159740195a
122b2069940
131711205b8
14bd52a34c
15759856e0
hex4b1d8800

1260226560 has 96 divisors (see below), whose sum is σ = 4031838720. Its totient is φ = 336052224.

The previous prime is 1260226543. The next prime is 1260226571. The reversal of 1260226560 is 656220621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10209 + ... + 51231.

It is an arithmetic number, because the mean of its divisors is an integer number (41998320).

Almost surely, 21260226560 is an apocalyptic number.

1260226560 is a gapful number since it is divisible by the number (10) 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 1260226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015919360).

1260226560 is an abundant number, since it is smaller than the sum of its proper divisors (2771612160).

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

1260226560 is an equidigital number, since it uses as much as digits as its factorization.

1260226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41053 (or 41033 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1260226560 is about 35499.6698576198. The cubic root of 1260226560 is about 1080.1470307368.

The spelling of 1260226560 in words is "one billion, two hundred sixty million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 41023 82046 123069 164092 205115 246138 328184 410230 492276 615345 656368 820460 984552 1230690 1312736 1640920 1969104 2461380 2625472 3281840 3938208 4922760 5250944 6563680 7876416 9845520 10501888 13127360 15752832 19691040 21003776 26254720 31505664 39382080 42007552 52509440 63011328 78764160 84015104 105018880 126022656 157528320 210037760 252045312 315056640 420075520 630113280 1260226560