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8007714 = 23311131761
BaseRepresentation
bin11110100011000000100010
3120001211112000
4132203000202
54022221324
6443344430
7125031051
oct36430042
916054460
108007714
11457a350
122822116
131874ac0
1410c6398
15a829c9
hex7a3022

8007714 has 128 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2073600.

The previous prime is 8007709. The next prime is 8007733. The reversal of 8007714 is 4177008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131244 + ... + 131304.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 28007714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8007714 is an abundant number, since it is smaller than the sum of its proper divisors (14490846).

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

8007714 is a wasteful number, since it uses less digits than its factorization.

8007714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 8007714 is about 2829.7904516059. The cubic root of 8007714 is about 200.0642626827.

The spelling of 8007714 in words is "eight million, seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 61 66 78 99 102 117 122 143 153 183 187 198 221 234 286 297 306 351 366 374 429 442 459 549 561 594 663 671 702 793 858 918 1037 1098 1122 1287 1326 1342 1586 1647 1683 1989 2013 2074 2379 2431 2574 3111 3294 3366 3861 3978 4026 4758 4862 5049 5967 6039 6222 7137 7293 7722 8723 9333 10098 11407 11934 12078 13481 14274 14586 17446 18117 18666 21411 21879 22814 26169 26962 27999 34221 36234 40443 42822 43758 52338 55998 65637 68442 78507 80886 102663 121329 131274 148291 157014 205326 235521 242658 296582 307989 363987 444873 471042 615978 727974 889746 1334619 2669238 4003857 8007714