Search a number
-
+
1011223040 = 2952953257
BaseRepresentation
bin111100010001100…
…000101000000000
32121110210110020012
4330101200220000
54032333114130
6244202004052
734026153062
oct7421405000
92543713205
101011223040
11479899923
122427a6628
13131669639
149842d732
155db9b995
hex3c460a00

1011223040 has 160 divisors (see below), whose sum is σ = 2565438480. Its totient is φ = 381681664.

The previous prime is 1011223033. The next prime is 1011223067. The reversal of 1011223040 is 403221101.

It can be written as a sum of positive squares in 8 ways, for example, as 858255616 + 152967424 = 29296^2 + 12368^2 .

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

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, 3934592 + ... + 3934848.

Almost surely, 21011223040 is an apocalyptic number.

1011223040 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 1011223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282719240).

1011223040 is an abundant number, since it is smaller than the sum of its proper divisors (1554215440).

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

1011223040 is an equidigital number, since it uses as much as digits as its factorization.

1011223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1011223040 is about 31799.7333322152. The cubic root of 1011223040 is about 1003.7271047653.

Adding to 1011223040 its reverse (403221101), we get a palindrome (1414444141).

The spelling of 1011223040 in words is "one billion, eleven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 256 257 265 290 320 424 464 512 514 530 580 640 848 928 1028 1060 1160 1280 1285 1537 1696 1856 2056 2120 2320 2560 2570 3074 3392 3712 4112 4240 4640 5140 6148 6784 7424 7453 7685 8224 8480 9280 10280 12296 13568 13621 14848 14906 15370 16448 16960 18560 20560 24592 27136 27242 29812 30740 32896 33920 37120 37265 41120 49184 54484 59624 61480 65792 67840 68105 74240 74530 82240 98368 108968 119248 122960 131584 135680 136210 149060 164480 196736 217936 238496 245920 272420 298120 328960 393472 395009 435872 476992 491840 544840 596240 657920 786944 790018 871744 953984 983680 1089680 1192480 1580036 1743488 1907968 1967360 1975045 2179360 2384960 3160072 3486976 3815936 3934720 3950090 4358720 4769920 6320144 6973952 7900180 8717440 9539840 12640288 15800360 17434880 19079680 25280576 31600720 34869760 50561152 63201440 101122304 126402880 202244608 252805760 505611520 1011223040