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1085130240 = 2935229617
BaseRepresentation
bin100000010101101…
…1100011000000000
32210121212022211220
41000223130120000
54210243131430
6255402035040
735614312005
oct10053343000
92717768756
101085130240
11507589457
122634a8a80
13143a756cc
14a418b8ac
15653ea110
hex40adc600

1085130240 has 160 divisors (see below), whose sum is σ = 3489821280. Its totient is φ = 287637504.

The previous prime is 1085130239. The next prime is 1085130257. The reversal of 1085130240 is 420315801.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1085130240.

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, 1758412 + ... + 1759028.

It is an arithmetic number, because the mean of its divisors is an integer number (21811383).

Almost surely, 21085130240 is an apocalyptic number.

1085130240 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 1085130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744910640).

1085130240 is an abundant number, since it is smaller than the sum of its proper divisors (2404691040).

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

1085130240 is an equidigital number, since it uses as much as digits as its factorization.

1085130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1085130240 is about 32941.3150921453. The cubic root of 1085130240 is about 1027.6075555918.

The spelling of 1085130240 in words is "one billion, eighty-five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 256 320 384 458 480 512 617 640 687 768 916 960 1145 1234 1280 1374 1536 1832 1851 1920 2290 2468 2560 2748 3085 3435 3664 3702 3840 4580 4936 5496 6170 6870 7328 7404 7680 9160 9255 9872 10992 12340 13740 14656 14808 18320 18510 19744 21984 24680 27480 29312 29616 36640 37020 39488 43968 49360 54960 58624 59232 73280 74040 78976 87936 98720 109920 117248 118464 141293 146560 148080 157952 175872 197440 219840 236928 282586 293120 296160 315904 351744 394880 423879 439680 473856 565172 586240 592320 706465 789760 847758 879360 947712 1130344 1184640 1412930 1579520 1695516 1758720 2119395 2260688 2369280 2825860 3391032 4238790 4521376 4738560 5651720 6782064 8477580 9042752 11303440 13564128 16955160 18085504 22606880 27128256 33910320 36171008 45213760 54256512 67820640 72342016 90427520 108513024 135641280 180855040 217026048 271282560 361710080 542565120 1085130240