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80320896 = 273461127
BaseRepresentation
bin1001100100110…
…01100110000000
312121010201120000
410302121212000
5131030232041
611545320000
71663500465
oct462314600
9177121500
1080320896
1141380307
1222a96000
1313843476
14a94b66c
1570b8bb6
hex4c99980

80320896 has 160 divisors (see below), whose sum is σ = 244865280. Its totient is φ = 26127360.

The previous prime is 80320879. The next prime is 80320909. The reversal of 80320896 is 69802308.

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 80320896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632385 + ... + 632511.

It is an arithmetic number, because the mean of its divisors is an integer number (1530408).

Almost surely, 280320896 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 80320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122432640).

80320896 is an abundant number, since it is smaller than the sum of its proper divisors (164544384).

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

80320896 is a wasteful number, since it uses less digits than its factorization.

80320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80320896 is about 8962.1925888702. The cubic root of 80320896 is about 431.4622939634.

The spelling of 80320896 in words is "eighty million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 127 128 144 162 183 192 216 244 254 288 324 366 381 384 432 488 508 549 576 648 732 762 864 976 1016 1098 1143 1152 1296 1464 1524 1647 1728 1952 2032 2196 2286 2592 2928 3048 3294 3429 3456 3904 4064 4392 4572 4941 5184 5856 6096 6588 6858 7747 7808 8128 8784 9144 9882 10287 10368 11712 12192 13176 13716 15494 16256 17568 18288 19764 20574 23241 23424 24384 26352 27432 30988 35136 36576 39528 41148 46482 48768 52704 54864 61976 69723 70272 73152 79056 82296 92964 105408 109728 123952 139446 146304 158112 164592 185928 209169 210816 219456 247904 278892 316224 329184 371856 418338 438912 495808 557784 627507 632448 658368 743712 836676 991616 1115568 1255014 1316736 1487424 1673352 2231136 2510028 2974848 3346704 4462272 5020056 6693408 8924544 10040112 13386816 20080224 26773632 40160448 80320896