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3728130 = 235741433
BaseRepresentation
bin1110001110001100000010
321000102000220
432032030002
51423300010
6211523510
743455120
oct16161402
97012026
103728130
112116aaa
1212b9596
13a06bc3
146d0910
154d9970
hex38e302

3728130 has 64 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 829440.

The previous prime is 3728113. The next prime is 3728141. The reversal of 3728130 is 318273.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3728130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8394 + ... + 8826.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 23728130 is an apocalyptic number.

3728130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3728130 is an abundant number, since it is smaller than the sum of its proper divisors (6771198).

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

3728130 is a wasteful number, since it uses less digits than its factorization.

3728130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3728130 is about 1930.8366062409. The cubic root of 3728130 is about 155.0590132557.

The spelling of 3728130 in words is "three million, seven hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 433 574 615 861 866 1230 1299 1435 1722 2165 2598 2870 3031 4305 4330 6062 6495 8610 9093 12990 15155 17753 18186 30310 35506 45465 53259 88765 90930 106518 124271 177530 248542 266295 372813 532590 621355 745626 1242710 1864065 3728130