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11248720 = 245753379
BaseRepresentation
bin101010111010…
…010001010000
3210011111100021
4222322101100
510334424340
61041033224
7164420050
oct52722120
923144307
1011248720
11639336a
123925814
13243b062
1416cb560
15ec2e4a
hexaba450

11248720 has 80 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 3773952.

The previous prime is 11248717. The next prime is 11248729. The reversal of 11248720 is 2784211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29491 + ... + 29869.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 211248720 is an apocalyptic number.

11248720 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 11248720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

11248720 is an abundant number, since it is smaller than the sum of its proper divisors (19285040).

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

11248720 is a wasteful number, since it uses less digits than its factorization.

11248720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 11248720 is about 3353.9111496878. The cubic root of 11248720 is about 224.0617389343.

The spelling of 11248720 in words is "eleven million, two hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 379 424 530 560 742 758 848 1060 1484 1516 1855 1895 2120 2653 2968 3032 3710 3790 4240 5306 5936 6064 7420 7580 10612 13265 14840 15160 20087 21224 26530 29680 30320 40174 42448 53060 80348 100435 106120 140609 160696 200870 212240 281218 321392 401740 562436 703045 803480 1124872 1406090 1606960 2249744 2812180 5624360 11248720