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80374200 = 23352971381
BaseRepresentation
bin1001100101001…
…10100110111000
312121020102200020
410302212212320
5131033433300
611550410440
71664112054
oct462464670
9177212606
1080374200
1141407365
1222b00a20
13138617ca
14a962c64
1570c98a0
hex4ca69b8

80374200 has 96 divisors (see below), whose sum is σ = 251910960. Its totient is φ = 21196800.

The previous prime is 80374193. The next prime is 80374207. The reversal of 80374200 is 247308.

It is an interprime number because it is at equal distance from previous prime (80374193) and next prime (80374207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80374207) 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 23 ways as a sum of consecutive naturals, for example, 57510 + ... + 58890.

Almost surely, 280374200 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 80374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125955480).

80374200 is an abundant number, since it is smaller than the sum of its proper divisors (171536760).

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

80374200 is a wasteful number, since it uses less digits than its factorization.

80374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 80374200 is about 8965.1659214986. The cubic root of 80374200 is about 431.5577177843.

The spelling of 80374200 in words is "eighty million, three hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1381 1455 1940 2328 2425 2762 2910 3880 4143 4850 5524 5820 6905 7275 8286 9700 11048 11640 13810 14550 16572 19400 20715 27620 29100 33144 34525 41430 55240 58200 69050 82860 103575 133957 138100 165720 207150 267914 276200 401871 414300 535828 669785 803742 828600 1071656 1339570 1607484 2009355 2679140 3214968 3348925 4018710 5358280 6697850 8037420 10046775 13395700 16074840 20093550 26791400 40187100 80374200