Search a number
-
+
3702096 = 243247547
BaseRepresentation
bin1110000111110101010000
320222002022200
432013311100
51421431341
6211203200
743316166
oct16076520
96862280
103702096
1120a9492
1212a6500
139c80b8
146c5236
154d1db6
hex387d50

3702096 has 60 divisors (see below), whose sum is σ = 10600512. Its totient is φ = 1205568.

The previous prime is 3702091. The next prime is 3702119. The reversal of 3702096 is 6902073.

3702096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3702091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6495 + ... + 7041.

Almost surely, 23702096 is an apocalyptic number.

3702096 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 3702096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300256).

3702096 is an abundant number, since it is smaller than the sum of its proper divisors (6898416).

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

3702096 is a wasteful number, since it uses less digits than its factorization.

3702096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3702096 is about 1924.0831582860. The cubic root of 3702096 is about 154.6972376484.

The spelling of 3702096 in words is "three million, seven hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 547 564 752 846 1094 1128 1641 1692 2188 2256 3282 3384 4376 4923 6564 6768 8752 9846 13128 19692 25709 26256 39384 51418 77127 78768 102836 154254 205672 231381 308508 411344 462762 617016 925524 1234032 1851048 3702096