Search a number
-
+
3137796 = 2232432027
BaseRepresentation
bin1011111110000100000100
312220102020200
423332010010
51300402141
6151130500
735446044
oct13760404
95812220
103137796
111853522
121073a30
1385b2ac
145b9724
1541eab6
hex2fe104

3137796 has 36 divisors (see below), whose sum is σ = 8120112. Its totient is φ = 1021104.

The previous prime is 3137777. The next prime is 3137803. The reversal of 3137796 is 6977313.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3137796.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 2561.

Almost surely, 23137796 is an apocalyptic number.

3137796 is a gapful number since it is divisible by the number (36) 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 3137796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060056).

3137796 is an abundant number, since it is smaller than the sum of its proper divisors (4982316).

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

3137796 is a wasteful number, since it uses less digits than its factorization.

3137796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2075 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 3137796 is about 1771.3825109219. The cubic root of 3137796 is about 146.4001657259.

The spelling of 3137796 in words is "three million, one hundred thirty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2027 4054 6081 8108 12162 18243 24324 36486 72972 87161 174322 261483 348644 522966 784449 1045932 1568898 3137796