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11379852 = 22341131103
BaseRepresentation
bin101011011010…
…010010001100
3210102011020000
4223122102030
510403123402
61043524300
7165504261
oct53322214
923364200
1011379852
116472940
123989690
132485953
141723268
15eebc1c
hexada48c

11379852 has 120 divisors (see below), whose sum is σ = 33825792. Its totient is φ = 3304800.

The previous prime is 11379833. The next prime is 11379869. The reversal of 11379852 is 25897311.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 110433 + ... + 110535.

Almost surely, 211379852 is an apocalyptic number.

11379852 is a gapful number since it is divisible by the number (12) 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 11379852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912896).

11379852 is an abundant number, since it is smaller than the sum of its proper divisors (22445940).

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

11379852 is a wasteful number, since it uses less digits than its factorization.

11379852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11379852 is about 3373.4036224561. The cubic root of 11379852 is about 224.9290442925.

The spelling of 11379852 in words is "eleven million, three hundred seventy-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 103 108 124 132 162 186 198 206 279 297 309 324 341 372 396 412 558 594 618 682 837 891 927 1023 1116 1133 1188 1236 1364 1674 1782 1854 2046 2266 2511 2781 3069 3193 3348 3399 3564 3708 4092 4532 5022 5562 6138 6386 6798 8343 9207 9579 10044 10197 11124 12276 12772 13596 16686 18414 19158 20394 27621 28737 30591 33372 35123 36828 38316 40788 55242 57474 61182 70246 86211 91773 105369 110484 114948 122364 140492 172422 183546 210738 258633 316107 344844 367092 421476 517266 632214 948321 1034532 1264428 1896642 2844963 3793284 5689926 11379852