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8214012 = 2232832749
BaseRepresentation
bin11111010101010111111100
3120110022111200
4133111113330
54100322022
6452015500
7126550362
oct37252774
916408450
108214012
114700344
122901590
131917981
14113b632
15ac3bac
hex7d55fc

8214012 has 36 divisors (see below), whose sum is σ = 21021000. Its totient is φ = 2704032.

The previous prime is 8214007. The next prime is 8214029. The reversal of 8214012 is 2104128.

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

It is a super-2 number, since 2×82140122 = 134939986272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1614 + ... + 4362.

Almost surely, 28214012 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 8214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510500).

8214012 is an abundant number, since it is smaller than the sum of its proper divisors (12806988).

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

8214012 is a wasteful number, since it uses less digits than its factorization.

8214012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8214012 is about 2866.0097696972. The cubic root of 8214012 is about 201.7677623790.

The spelling of 8214012 in words is "eight million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2749 2988 5498 8247 10996 16494 24741 32988 49482 98964 228167 456334 684501 912668 1369002 2053503 2738004 4107006 8214012