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1041112320 = 28351371979
BaseRepresentation
bin111110000011100…
…001110100000000
32200120000222121120
4332003201310000
54113011043240
6251150352240
734541210613
oct7603416400
92616028546
101041112320
11494754106
122507bb680
131379030c1
149c3b017a
1561602ad0
hex3e0e1d00

1041112320 has 144 divisors (see below), whose sum is σ = 3351015360. Its totient is φ = 275464192.

The previous prime is 1041112313. The next prime is 1041112367. The reversal of 1041112320 is 232111401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1041112320.

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, 525091 + ... + 527069.

It is an arithmetic number, because the mean of its divisors is an integer number (23270940).

Almost surely, 21041112320 is an apocalyptic number.

1041112320 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 1041112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675507680).

1041112320 is an abundant number, since it is smaller than the sum of its proper divisors (2309903040).

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

1041112320 is a wasteful number, since it uses less digits than its factorization.

1041112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1041112320 is about 32266.2721738970. The cubic root of 1041112320 is about 1013.5204794394.

Adding to 1041112320 its reverse (232111401), we get a palindrome (1273223721).

The spelling of 1041112320 in words is "one billion, forty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 548 640 685 768 822 960 1096 1280 1370 1644 1920 1979 2055 2192 2740 3288 3840 3958 4110 4384 5480 5937 6576 7916 8220 8768 9895 10960 11874 13152 15832 16440 17536 19790 21920 23748 26304 29685 31664 32880 35072 39580 43840 47496 52608 59370 63328 65760 79160 87680 94992 105216 118740 126656 131520 158320 175360 189984 237480 253312 263040 271123 316640 379968 474960 506624 526080 542246 633280 759936 813369 949920 1084492 1266560 1355615 1519872 1626738 1899840 2168984 2533120 2711230 3253476 3799680 4066845 4337968 5422460 6506952 7599360 8133690 8675936 10844920 13013904 16267380 17351872 21689840 26027808 32534760 34703744 43379680 52055616 65069520 69407488 86759360 104111232 130139040 173518720 208222464 260278080 347037440 520556160 1041112320