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80607312 = 243437412
BaseRepresentation
bin1001100110111…
…11100001010000
312121200021110000
410303133201100
5131113413222
611555410000
71666102512
oct463374120
9177607400
1080607312
1141556515
1222bb3900
1313913946
14a9c3bb2
1571239ac
hex4cdf850

80607312 has 150 divisors (see below), whose sum is σ = 245592974. Its totient is φ = 25505280.

The previous prime is 80607311. The next prime is 80607323. The reversal of 80607312 is 21370608.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 80353296 = 504^2 + 8964^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80607311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1966012 + ... + 1966052.

Almost surely, 280607312 is an apocalyptic number.

80607312 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122796487).

80607312 is an abundant number, since it is smaller than the sum of its proper divisors (164985662).

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

80607312 is a wasteful number, since it uses less digits than its factorization.

80607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80607312 is about 8978.1574947202. The cubic root of 80607312 is about 431.9745355361.

The spelling of 80607312 in words is "eighty million, six hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 41 48 54 72 74 81 82 108 111 123 144 148 162 164 216 222 246 296 324 328 333 369 432 444 492 592 648 656 666 738 888 984 999 1107 1296 1332 1476 1517 1681 1776 1968 1998 2214 2664 2952 2997 3034 3321 3362 3996 4428 4551 5043 5328 5904 5994 6068 6642 6724 7992 8856 9102 10086 11988 12136 13284 13448 13653 15129 15984 17712 18204 20172 23976 24272 26568 26896 27306 30258 36408 40344 40959 45387 47952 53136 54612 60516 62197 72816 80688 81918 90774 109224 121032 122877 124394 136161 163836 181548 186591 218448 242064 245754 248788 272322 327672 363096 373182 491508 497576 544644 559773 655344 726192 746364 983016 995152 1089288 1119546 1492728 1679319 1966032 2178576 2239092 2985456 3358638 4478184 5037957 6717276 8956368 10075914 13434552 20151828 26869104 40303656 80607312