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80368640 = 2105111427
BaseRepresentation
bin1001100101001…
…01010000000000
312121020011001022
410302211100000
5131033244030
611550325012
71664056622
oct462452000
9177204038
1080368640
1141403170
1222ab9768
131385c111
14a960c12
1570c7de5
hex4ca5400

80368640 has 88 divisors (see below), whose sum is σ = 210464352. Its totient is φ = 29204480.

The previous prime is 80368633. The next prime is 80368681. The reversal of 80368640 is 4686308.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 80368640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55607 + ... + 57033.

Almost surely, 280368640 is an apocalyptic number.

80368640 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 80368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105232176).

80368640 is an abundant number, since it is smaller than the sum of its proper divisors (130095712).

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

80368640 is a wasteful number, since it uses less digits than its factorization.

80368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 80368640 is about 8964.8558270616. The cubic root of 80368640 is about 431.5477663478.

The spelling of 80368640 in words is "eighty million, three hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1427 1760 2560 2816 2854 3520 5120 5632 5708 7040 7135 11264 11416 14080 14270 15697 22832 28160 28540 31394 45664 56320 57080 62788 78485 91328 114160 125576 156970 182656 228320 251152 313940 365312 456640 502304 627880 730624 913280 1004608 1255760 1461248 1826560 2009216 2511520 3653120 4018432 5023040 7306240 8036864 10046080 16073728 20092160 40184320 80368640