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3712068 = 22361967
BaseRepresentation
bin1110001010010001000100
320222121000000
432022101010
51422241233
6211321300
743360233
oct16122104
96877000
103712068
112105a28
1212b0230
139cc7b9
146c8b1a
154d4d13
hex38a444

3712068 has 84 divisors (see below), whose sum is σ = 10405360. Its totient is φ = 1154736.

The previous prime is 3712063. The next prime is 3712073. The reversal of 3712068 is 8602173.

It is an interprime number because it is at equal distance from previous prime (3712063) and next prime (3712073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3712063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55371 + ... + 55437.

Almost surely, 23712068 is an apocalyptic number.

3712068 is a gapful number since it is divisible by the number (38) 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 3712068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202680).

3712068 is an abundant number, since it is smaller than the sum of its proper divisors (6693292).

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

3712068 is a wasteful number, since it uses less digits than its factorization.

3712068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3712068 is about 1926.6727796904. The cubic root of 3712068 is about 154.8360110921.

The spelling of 3712068 in words is "three million, seven hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 81 108 114 134 162 171 201 228 243 268 324 342 402 486 513 603 684 729 804 972 1026 1206 1273 1458 1539 1809 2052 2412 2546 2916 3078 3618 3819 4617 5092 5427 6156 7236 7638 9234 10854 11457 13851 15276 16281 18468 21708 22914 27702 32562 34371 45828 48843 55404 65124 68742 97686 103113 137484 195372 206226 309339 412452 618678 928017 1237356 1856034 3712068