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11312320 = 265232953
BaseRepresentation
bin101011001001…
…110011000000
3210021201120211
4223021303000
510343443240
61042243504
7165103345
oct53116300
923251524
1011312320
116427128
123956594
132460ca6
1417067cc
15ed6bea
hexac9cc0

11312320 has 112 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 4100096.

The previous prime is 11312281. The next prime is 11312333. The reversal of 11312320 is 2321311.

It is a self number, because there is not a number n which added to its sum of digits gives 11312320.

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, 213414 + ... + 213466.

Almost surely, 211312320 is an apocalyptic number.

11312320 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 11312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

11312320 is an abundant number, since it is smaller than the sum of its proper divisors (18314240).

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

11312320 is a wasteful number, since it uses less digits than its factorization.

11312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11312320 is about 3363.3792530727. The cubic root of 11312320 is about 224.4832255164.

Adding to 11312320 its reverse (2321311), we get a palindrome (13633631).

The spelling of 11312320 in words is "eleven million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 53 58 64 80 92 106 115 116 145 160 184 212 230 232 265 290 320 368 424 460 464 530 580 667 736 848 920 928 1060 1160 1219 1334 1472 1537 1696 1840 1856 2120 2320 2438 2668 3074 3335 3392 3680 4240 4640 4876 5336 6095 6148 6670 7360 7685 8480 9280 9752 10672 12190 12296 13340 15370 16960 19504 21344 24380 24592 26680 30740 35351 39008 42688 48760 49184 53360 61480 70702 78016 97520 98368 106720 122960 141404 176755 195040 213440 245920 282808 353510 390080 491840 565616 707020 1131232 1414040 2262464 2828080 5656160 11312320