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11273760 = 253257829
BaseRepresentation
bin101011000000…
…011000100000
3210012202200200
4223000120200
510341230020
61041345200
7164553051
oct53003040
923182620
1011273760
116400163
123938200
132449584
1416d6728
15eca590
hexac0620

11273760 has 72 divisors (see below), whose sum is σ = 38476620. Its totient is φ = 3005952.

The previous prime is 11273753. The next prime is 11273767. The reversal of 11273760 is 6737211.

It is an interprime number because it is at equal distance from previous prime (11273753) and next prime (11273767).

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 853776 = 3228^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11273767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 5354.

Almost surely, 211273760 is an apocalyptic number.

11273760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11273760 is an abundant number, since it is smaller than the sum of its proper divisors (27202860).

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

11273760 is a wasteful number, since it uses less digits than its factorization.

11273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11273760 is about 3357.6420297584. The cubic root of 11273760 is about 224.2278718523.

The spelling of 11273760 in words is "eleven million, two hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7829 15658 23487 31316 39145 46974 62632 70461 78290 93948 117435 125264 140922 156580 187896 234870 250528 281844 313160 352305 375792 469740 563688 626320 704610 751584 939480 1127376 1252640 1409220 1878960 2254752 2818440 3757920 5636880 11273760