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11379720 = 23351137233
BaseRepresentation
bin101011011010…
…010000001000
3210102011001010
4223122100020
510403122340
61043523520
7165504012
oct53322010
923364033
1011379720
116472830
1239895a0
132485881
1417231b2
15eebb80
hexada408

11379720 has 128 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 2672640.

The previous prime is 11379707. The next prime is 11379721. The reversal of 11379720 is 2797311.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11379721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48724 + ... + 48956.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 211379720 is an apocalyptic number.

11379720 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 11379720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

11379720 is an abundant number, since it is smaller than the sum of its proper divisors (27033720).

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

11379720 is a wasteful number, since it uses less digits than its factorization.

11379720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 11379720 is about 3373.3840575896. The cubic root of 11379720 is about 224.9281746049.

The spelling of 11379720 in words is "eleven million, three hundred seventy-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 233 264 296 330 370 407 440 444 466 555 660 699 740 814 888 932 1110 1165 1221 1320 1398 1480 1628 1864 2035 2220 2330 2442 2563 2796 3256 3495 4070 4440 4660 4884 5126 5592 6105 6990 7689 8140 8621 9320 9768 10252 12210 12815 13980 15378 16280 17242 20504 24420 25630 25863 27960 30756 34484 38445 43105 48840 51260 51726 61512 68968 76890 86210 94831 102520 103452 129315 153780 172420 189662 206904 258630 284493 307560 344840 379324 474155 517260 568986 758648 948310 1034520 1137972 1422465 1896620 2275944 2844930 3793240 5689860 11379720