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11379960 = 2333541257
BaseRepresentation
bin101011011010…
…010011111000
3210102011101000
4223122103320
510403124320
61043525000
7165504504
oct53322370
923364330
1011379960
116472a29
123989760
132485a07
141723304
15eebc90
hexada4f8

11379960 has 128 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 2949120.

The previous prime is 11379959. The next prime is 11379961. The reversal of 11379960 is 6997311.

It is an interprime number because it is at equal distance from previous prime (11379959) and next prime (11379961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44152 + ... + 44408.

Almost surely, 211379960 is an apocalyptic number.

11379960 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 11379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

11379960 is an abundant number, since it is smaller than the sum of its proper divisors (27629640).

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

11379960 is a wasteful number, since it uses less digits than its factorization.

11379960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11379960 is about 3373.4196299897. The cubic root of 11379960 is about 224.9297558501.

The spelling of 11379960 in words is "eleven million, three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 257 270 328 360 369 410 492 514 540 615 738 771 820 984 1028 1080 1107 1230 1285 1476 1542 1640 1845 2056 2214 2313 2460 2570 2952 3084 3690 3855 4428 4626 4920 5140 5535 6168 6939 7380 7710 8856 9252 10280 10537 11070 11565 13878 14760 15420 18504 21074 22140 23130 27756 30840 31611 34695 42148 44280 46260 52685 55512 63222 69390 84296 92520 94833 105370 126444 138780 158055 189666 210740 252888 277560 284499 316110 379332 421480 474165 568998 632220 758664 948330 1137996 1264440 1422495 1896660 2275992 2844990 3793320 5689980 11379960