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11442960 = 2432523691
BaseRepresentation
bin101011101001…
…101100010000
3210112100210100
4223221230100
510412133320
61045132400
7166156254
oct53515420
923470710
1011442960
1165062a1
1239ba100
1324a85a9
14173c264
151010790
hexae9b10

11442960 has 120 divisors (see below), whose sum is σ = 40158144. Its totient is φ = 2914560.

The previous prime is 11442947. The next prime is 11442973. The reversal of 11442960 is 6924411.

It is an interprime number because it is at equal distance from previous prime (11442947) and next prime (11442973).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215 + ... + 16905.

Almost surely, 211442960 is an apocalyptic number.

11442960 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 11442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079072).

11442960 is an abundant number, since it is smaller than the sum of its proper divisors (28715184).

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

11442960 is a wasteful number, since it uses less digits than its factorization.

11442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11442960 is about 3382.7444479298. The cubic root of 11442960 is about 225.3440661842.

The spelling of 11442960 in words is "eleven million, four hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 691 720 828 920 1035 1104 1380 1382 1656 1840 2070 2073 2760 2764 3312 3455 4140 4146 5520 5528 6219 6910 8280 8292 10365 11056 12438 13820 15893 16560 16584 20730 24876 27640 31095 31786 33168 41460 47679 49752 55280 62190 63572 79465 82920 95358 99504 124380 127144 143037 158930 165840 190716 238395 248760 254288 286074 317860 381432 476790 497520 572148 635720 715185 762864 953580 1144296 1271440 1430370 1907160 2288592 2860740 3814320 5721480 11442960