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11265720 = 2335269349
BaseRepresentation
bin101010111110…
…011010111000
3210012100122220
4222332122320
510341000340
61041244040
7164520444
oct52763270
923170586
1011265720
1163a5114
123933620
132445a0b
1416d3824
15ec7ed0
hexabe6b8

11265720 has 64 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 2984448.

The previous prime is 11265707. The next prime is 11265721. The reversal of 11265720 is 2756211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265721) 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, 32106 + ... + 32454.

Almost surely, 211265720 is an apocalyptic number.

11265720 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 11265720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010000).

11265720 is an abundant number, since it is smaller than the sum of its proper divisors (22754280).

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

11265720 is a wasteful number, since it uses less digits than its factorization.

11265720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11265720 is about 3356.4445474341. Note that the first 3 decimals coincide. The cubic root of 11265720 is about 224.1745556910.

The spelling of 11265720 in words is "eleven million, two hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 349 538 698 807 1047 1076 1345 1396 1614 1745 2094 2152 2690 2792 3228 3490 4035 4188 5235 5380 6456 6980 8070 8376 10470 10760 13960 16140 20940 32280 41880 93881 187762 281643 375524 469405 563286 751048 938810 1126572 1408215 1877620 2253144 2816430 3755240 5632860 11265720