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11157720 = 2335737359
BaseRepresentation
bin101010100100…
…000011011000
3202222212111220
4222210003120
510324021340
61035052040
7163560540
oct52440330
922885456
1011157720
116330a62
1238a1020
132408802
1416a6320
15ea5ed0
hexaa40d8

11157720 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2474496.

The previous prime is 11157709. The next prime is 11157739. The reversal of 11157720 is 2775111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30901 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 211157720 is an apocalyptic number.

11157720 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 11157720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

11157720 is an abundant number, since it is smaller than the sum of its proper divisors (28240680).

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

11157720 is a wasteful number, since it uses less digits than its factorization.

11157720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 11157720 is about 3340.3173501929. The cubic root of 11157720 is about 223.4558966873.

The spelling of 11157720 in words is "eleven million, one hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 359 370 420 444 518 555 718 740 777 840 888 1036 1077 1110 1295 1436 1480 1554 1795 2072 2154 2220 2513 2590 2872 3108 3590 3885 4308 4440 5026 5180 5385 6216 7180 7539 7770 8616 10052 10360 10770 12565 13283 14360 15078 15540 20104 21540 25130 26566 30156 31080 37695 39849 43080 50260 53132 60312 66415 75390 79698 92981 100520 106264 132830 150780 159396 185962 199245 265660 278943 301560 318792 371924 398490 464905 531320 557886 743848 796980 929810 1115772 1394715 1593960 1859620 2231544 2789430 3719240 5578860 11157720