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2937096 = 2332192113
BaseRepresentation
bin1011001101000100001000
312112012221100
423031010020
51222441341
6142541400
733651651
oct13150410
95465840
102937096
111726758
12b97860
137bab36
14566528
153d03b6
hex2cd108

2937096 has 72 divisors (see below), whose sum is σ = 8469630. Its totient is φ = 919296.

The previous prime is 2937083. The next prime is 2937113. The reversal of 2937096 is 6907392.

It can be written as a sum of positive squares in only one way, i.e., 2924100 + 12996 = 1710^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 2937096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25936 + ... + 26048.

22937096 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 2937096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234815).

2937096 is an abundant number, since it is smaller than the sum of its proper divisors (5532534).

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

2937096 is a wasteful number, since it uses less digits than its factorization.

2937096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2937096 is about 1713.7957871345. The cubic root of 2937096 is about 143.2097919919.

The spelling of 2937096 in words is "two million, nine hundred thirty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 113 114 152 171 226 228 339 342 361 452 456 678 684 722 904 1017 1083 1356 1368 1444 2034 2147 2166 2712 2888 3249 4068 4294 4332 6441 6498 8136 8588 8664 12882 12996 17176 19323 25764 25992 38646 40793 51528 77292 81586 122379 154584 163172 244758 326344 367137 489516 734274 979032 1468548 2937096