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3997890 = 2335131767
BaseRepresentation
bin1111010000000011000010
321112010002000
433100003002
52010413030
6221404430
745660441
oct17200302
97463060
103997890
112290746
121409716
13a9c920
14760d58
1553e860
hex3d00c2

3997890 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 912384.

The previous prime is 3997871. The next prime is 3997891. The reversal of 3997890 is 987993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59637 + ... + 59703.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 23997890 is an apocalyptic number.

3997890 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 3997890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3997890 is an abundant number, since it is smaller than the sum of its proper divisors (8340030).

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

3997890 is a wasteful number, since it uses less digits than its factorization.

3997890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3997890 is about 1999.4724304176. The cubic root of 3997890 is about 158.7121884857.

The spelling of 3997890 in words is "three million, nine hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 67 78 85 90 102 117 130 134 135 153 170 195 201 221 234 255 270 306 335 351 390 402 442 459 510 585 603 663 670 702 765 871 918 1005 1105 1139 1170 1206 1326 1530 1742 1755 1809 1989 2010 2210 2278 2295 2613 3015 3315 3417 3510 3618 3978 4355 4590 5226 5695 5967 6030 6630 6834 7839 8710 9045 9945 10251 11390 11934 13065 14807 15678 17085 18090 19890 20502 23517 26130 29614 29835 30753 34170 39195 44421 47034 51255 59670 61506 74035 78390 88842 102510 117585 133263 148070 153765 222105 235170 266526 307530 399789 444210 666315 799578 1332630 1998945 3997890