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3111990 = 235722973
BaseRepresentation
bin1011110111110000110110
312212002211220
423313300312
51244040430
6150411210
735310600
oct13676066
95762756
103111990
1118360a2
121060b06
1384c61b
145b0170
15417110
hex2f7c36

3111990 has 96 divisors (see below), whose sum is σ = 9110880. Its totient is φ = 677376.

The previous prime is 3111973. The next prime is 3112007. The reversal of 3111990 is 991113.

It is an interprime number because it is at equal distance from previous prime (3111973) and next prime (3112007).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3111990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42594 + ... + 42666.

It is an arithmetic number, because the mean of its divisors is an integer number (94905).

Almost surely, 23111990 is an apocalyptic number.

3111990 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 3111990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555440).

3111990 is an abundant number, since it is smaller than the sum of its proper divisors (5998890).

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

3111990 is a wasteful number, since it uses less digits than its factorization.

3111990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 24.

The square root of 3111990 is about 1764.0833313650. The cubic root of 3111990 is about 145.9977168593.

It can be divided in two parts, 31 and 11990, that added together give a palindrome (12021).

The spelling of 3111990 in words is "three million, one hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 73 87 98 105 145 146 147 174 203 210 219 245 290 294 365 406 435 438 490 511 609 730 735 870 1015 1022 1095 1218 1421 1470 1533 2030 2117 2190 2555 2842 3045 3066 3577 4234 4263 5110 6090 6351 7105 7154 7665 8526 10585 10731 12702 14210 14819 15330 17885 21170 21315 21462 29638 31755 35770 42630 44457 53655 63510 74095 88914 103733 107310 148190 207466 222285 311199 444570 518665 622398 1037330 1555995 3111990