[go: up one dir, main page]

Search a number
-
+
80237460 = 22353747769
BaseRepresentation
bin1001100100001…
…01001110010100
312120222111002210
410302011032110
5131020044320
611543433420
71663002312
oct462051624
9176874083
1080237460
1141323656
1222a55870
13138144b4
14a9290b2
15709e0e0
hex4c85394

80237460 has 96 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 20348928.

The previous prime is 80237459. The next prime is 80237471. The reversal of 80237460 is 6473208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103956 + ... + 104724.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 280237460 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 80237460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

80237460 is an abundant number, since it is smaller than the sum of its proper divisors (155715180).

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

80237460 is a wasteful number, since it uses less digits than its factorization.

80237460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 80237460 is about 8957.5364916923. The cubic root of 80237460 is about 431.3128436037.

The spelling of 80237460 in words is "eighty million, two hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 141 148 185 188 222 235 282 370 444 470 555 564 705 740 769 940 1110 1410 1538 1739 2220 2307 2820 3076 3478 3845 4614 5217 6956 7690 8695 9228 10434 11535 15380 17390 20868 23070 26085 28453 34780 36143 46140 52170 56906 72286 85359 104340 108429 113812 142265 144572 170718 180715 216858 284530 341436 361430 426795 433716 542145 569060 722860 853590 1084290 1337291 1707180 2168580 2674582 4011873 5349164 6686455 8023746 13372910 16047492 20059365 26745820 40118730 80237460