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3169980 = 22325111601
BaseRepresentation
bin1100000101111010111100
312222001101200
430011322330
51302414410
6151535500
735641632
oct14057274
95861350
103169980
111875720
12108a590
1386cb38
145c7352
154293c0
hex305ebc

3169980 has 72 divisors (see below), whose sum is σ = 10496304. Its totient is φ = 768000.

The previous prime is 3169963. The next prime is 3169981. The reversal of 3169980 is 899613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3169981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (145782).

Almost surely, 23169980 is an apocalyptic number.

3169980 is a gapful number since it is divisible by the number (30) 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 3169980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248152).

3169980 is an abundant number, since it is smaller than the sum of its proper divisors (7326324).

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

3169980 is a wasteful number, since it uses less digits than its factorization.

3169980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3169980 is about 1780.4437649081. The cubic root of 3169980 is about 146.8990004540.

It can be divided in two parts, 316 and 9980, that added together give a triangular number (10296 = T143).

The spelling of 3169980 in words is "three million, one hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1601 1980 3202 4803 6404 8005 9606 14409 16010 17611 19212 24015 28818 32020 35222 48030 52833 57636 70444 72045 88055 96060 105666 144090 158499 176110 211332 264165 288180 316998 352220 528330 633996 792495 1056660 1584990 3169980