Search a number
-
+
3137992 = 2311132211
BaseRepresentation
bin1011111110000111001000
312220102111221
423332013020
51300403432
6151131424
735446444
oct13760710
95812457
103137992
111853690
121073b74
1385b400
145b9824
1541eb97
hex2fe1c8

3137992 has 48 divisors (see below), whose sum is σ = 6983280. Its totient is φ = 1310400.

The previous prime is 3137977. The next prime is 3137993. The reversal of 3137992 is 2997313.

It is not an unprimeable number, because it can be changed into a prime (3137993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14767 + ... + 14977.

It is an arithmetic number, because the mean of its divisors is an integer number (145485).

Almost surely, 23137992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491640).

3137992 is an abundant number, since it is smaller than the sum of its proper divisors (3845288).

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

3137992 is a wasteful number, since it uses less digits than its factorization.

3137992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its digits is 10206, while the sum is 34.

The square root of 3137992 is about 1771.4378340772. The cubic root of 3137992 is about 146.4032139201.

The spelling of 3137992 in words is "three million, one hundred thirty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 211 286 338 422 572 676 844 1144 1352 1688 1859 2321 2743 3718 4642 5486 7436 9284 10972 14872 18568 21944 30173 35659 60346 71318 120692 142636 241384 285272 392249 784498 1568996 3137992