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27000372 = 2237247977
BaseRepresentation
bin110011011111…
…1111000110100
31212210202112210
41212333320310
523403002442
62402413420
7445333200
oct146777064
955722483
1027000372
1114271863
129061270
135794869
14382bb00
15258519c
hex19bfe34

27000372 has 72 divisors (see below), whose sum is σ = 74922624. Its totient is φ = 7542528.

The previous prime is 27000361. The next prime is 27000409. The reversal of 27000372 is 27300072.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27148 + ... + 28124.

It is an arithmetic number, because the mean of its divisors is an integer number (1040592).

Almost surely, 227000372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37461312).

27000372 is an abundant number, since it is smaller than the sum of its proper divisors (47922252).

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

27000372 is a wasteful number, since it uses less digits than its factorization.

27000372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 27000372 is about 5196.1882183000. The cubic root of 27000372 is about 300.0013777715.

It can be divided in two parts, 27000 and 372, that added together give a palindrome (27372).

The spelling of 27000372 in words is "twenty-seven million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 977 987 1316 1954 1974 2303 2931 3908 3948 4606 5862 6839 6909 9212 11724 13678 13818 20517 27356 27636 41034 45919 47873 82068 91838 95746 137757 143619 183676 191492 275514 287238 321433 551028 574476 642866 964299 1285732 1928598 2250031 3857196 4500062 6750093 9000124 13500186 27000372