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11424720 = 2435181263
BaseRepresentation
bin101011100101…
…001111010000
3210111102202210
4223211033100
510411042340
61044512120
7166052136
oct53451720
923442683
1011424720
1164a361a
1239ab640
1324a01b8
141735756
15100a180
hexae53d0

11424720 has 80 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3018240.

The previous prime is 11424703. The next prime is 11424737. The reversal of 11424720 is 2742411.

It is a happy number.

11424720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11424703) and next prime (11424737).

It is a tau number, because it is divible by the number of its divisors (80).

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, 43309 + ... + 43571.

Almost surely, 211424720 is an apocalyptic number.

11424720 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 11424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

11424720 is an abundant number, since it is smaller than the sum of its proper divisors (24322992).

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

11424720 is a wasteful number, since it uses less digits than its factorization.

11424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11424720 is about 3380.0473369466. The cubic root of 11424720 is about 225.2242702101.

The spelling of 11424720 in words is "eleven million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 263 362 526 543 724 789 905 1052 1086 1315 1448 1578 1810 2104 2172 2630 2715 2896 3156 3620 3945 4208 4344 5260 5430 6312 7240 7890 8688 10520 10860 12624 14480 15780 21040 21720 31560 43440 47603 63120 95206 142809 190412 238015 285618 380824 476030 571236 714045 761648 952060 1142472 1428090 1904120 2284944 2856180 3808240 5712360 11424720