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8020056 = 23311171787
BaseRepresentation
bin11110100110000001011000
3120002110110010
4132212001120
54023120211
6443521520
7125112042
oct36460130
916073403
108020056
114588650
1228292a0
13187a5c5
1410caa92
15a864a6
hex7a6058

8020056 has 64 divisors (see below), whose sum is σ = 23172480. Its totient is φ = 2286080.

The previous prime is 8020049. The next prime is 8020069. The reversal of 8020056 is 6500208.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (362070).

Almost surely, 28020056 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 8020056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586240).

8020056 is an abundant number, since it is smaller than the sum of its proper divisors (15152424).

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

8020056 is a wasteful number, since it uses less digits than its factorization.

8020056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8020056 is about 2831.9703388277. The cubic root of 8020056 is about 200.1669938598.

It can be divided in two parts, 802005 and 6, that added together give a triangular number (802011 = T1266).

The spelling of 8020056 in words is "eight million, twenty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1787 2244 3574 4488 5361 7148 10722 14296 19657 21444 30379 39314 42888 58971 60758 78628 91137 117942 121516 157256 182274 235884 243032 334169 364548 471768 668338 729096 1002507 1336676 2005014 2673352 4010028 8020056