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80394240 = 211352617
BaseRepresentation
bin1001100101010…
…11100000000000
312121021110011110
410302223200000
5131040103430
611551043320
71664224353
oct462534000
9177243143
1080394240
1141420423
1222b10540
131386a974
14a96a29a
1570d07b0
hex4cab800

80394240 has 96 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 21430272.

The previous prime is 80394233. The next prime is 80394247. The reversal of 80394240 is 4249308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80394233) and next prime (80394247).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 80394198 and 80394207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80394247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29412 + ... + 32028.

Almost surely, 280394240 is an apocalyptic number.

80394240 is a gapful number since it is divisible by the number (80) 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 80394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

80394240 is an abundant number, since it is smaller than the sum of its proper divisors (176902800).

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

80394240 is a wasteful number, since it uses less digits than its factorization.

80394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 80394240 is about 8966.2835110206. The cubic root of 80394240 is about 431.5935821039.

The spelling of 80394240 in words is "eighty million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 2617 3072 3840 5120 5234 6144 7680 7851 10240 10468 13085 15360 15702 20936 26170 30720 31404 39255 41872 52340 62808 78510 83744 104680 125616 157020 167488 209360 251232 314040 334976 418720 502464 628080 669952 837440 1004928 1256160 1339904 1674880 2009856 2512320 2679808 3349760 4019712 5024640 5359616 6699520 8039424 10049280 13399040 16078848 20098560 26798080 40197120 80394240