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10813440 = 2163511
BaseRepresentation
bin101001010000…
…000000000000
3202100101020210
4221100000000
510232012230
61023434120
7160625031
oct51200000
922311223
1010813440
116116330
123755940
132317bb1
141616a88
15e38eb0
hexa50000

10813440 has 136 divisors (see below), whose sum is σ = 37748448. Its totient is φ = 2621440.

The previous prime is 10813423. The next prime is 10813457. The reversal of 10813440 is 4431801.

It is an interprime number because it is at equal distance from previous prime (10813423) and next prime (10813457).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

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, 983035 + ... + 983045.

Almost surely, 210813440 is an apocalyptic number.

10813440 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 10813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874224).

10813440 is an abundant number, since it is smaller than the sum of its proper divisors (26935008).

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

10813440 is an frugal number, since it uses more digits than its factorization.

10813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10813440 is about 3288.3795401383. The cubic root of 10813440 is about 221.1335433604.

It can be divided in two parts, 10 and 813440, that added together give a triangular number (813450 = T1275).

The spelling of 10813440 in words is "ten million, eight hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1024 1056 1280 1320 1408 1536 1760 1920 2048 2112 2560 2640 2816 3072 3520 3840 4096 4224 5120 5280 5632 6144 7040 7680 8192 8448 10240 10560 11264 12288 14080 15360 16384 16896 20480 21120 22528 24576 28160 30720 32768 33792 40960 42240 45056 49152 56320 61440 65536 67584 81920 84480 90112 98304 112640 122880 135168 163840 168960 180224 196608 225280 245760 270336 327680 337920 360448 450560 491520 540672 675840 720896 901120 983040 1081344 1351680 1802240 2162688 2703360 3604480 5406720 10813440