Search a number
-
+
80367378 = 237131961127
BaseRepresentation
bin1001100101001…
…00111100010010
312121020002022120
410302210330102
5131033224003
611550315110
71664053140
oct462447422
9177202276
1080367378
1141402223
1222ab8a96
131385b680
14a960590
1570c7853
hex4ca4f12

80367378 has 128 divisors (see below), whose sum is σ = 213319680. Its totient is φ = 19595520.

The previous prime is 80367377. The next prime is 80367383. The reversal of 80367378 is 87376308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80367373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632751 + ... + 632877.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 280367378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80367378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106659840).

80367378 is an abundant number, since it is smaller than the sum of its proper divisors (132952302).

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

80367378 is a wasteful number, since it uses less digits than its factorization.

80367378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 80367378 is about 8964.7854408234. The cubic root of 80367378 is about 431.5455075226.

The spelling of 80367378 in words is "eighty million, three hundred sixty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 61 78 91 114 122 127 133 182 183 247 254 266 273 366 381 399 427 494 546 741 762 793 798 854 889 1159 1281 1482 1586 1651 1729 1778 2318 2379 2413 2562 2667 3302 3458 3477 4758 4826 4953 5187 5334 5551 6954 7239 7747 8113 9906 10374 11102 11557 14478 15067 15494 16226 16653 16891 23114 23241 24339 30134 31369 33306 33782 34671 45201 46482 48678 50673 54229 62738 69342 90402 94107 100711 101346 105469 108458 147193 162687 188214 201422 210938 219583 294386 302133 316407 325374 439166 441579 604266 632814 658749 704977 883158 1030351 1317498 1409954 1913509 2060702 2114931 3091053 3827018 4229862 5740527 6182106 11481054 13394563 26789126 40183689 80367378