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80503840 = 2551721741
BaseRepresentation
bin1001100110001…
…10010000100000
312121111000111201
410303012100200
5131102110330
611553250544
71665162034
oct463062040
9177430451
1080503840
11414957aa
1222b63a54
13138a8811
14a9981c4
157102eca
hex4cc6420

80503840 has 72 divisors (see below), whose sum is σ = 202152132. Its totient is φ = 30289920.

The previous prime is 80503837. The next prime is 80503859. The reversal of 80503840 is 4830508.

It can be written as a sum of positive squares in 6 ways, for example, as 28259856 + 52243984 = 5316^2 + 7228^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80503799 and 80503808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45370 + ... + 47110.

Almost surely, 280503840 is an apocalyptic number.

80503840 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 80503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101076066).

80503840 is an abundant number, since it is smaller than the sum of its proper divisors (121648292).

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

80503840 is a wasteful number, since it uses less digits than its factorization.

80503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 80503840 is about 8972.3932147449. The cubic root of 80503840 is about 431.7896209298.

The spelling of 80503840 in words is "eighty million, five hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 1741 2312 2720 2890 3482 4624 5780 6964 8705 9248 11560 13928 17410 23120 27856 29597 34820 46240 55712 59194 69640 118388 139280 147985 236776 278560 295970 473552 503149 591940 947104 1006298 1183880 2012596 2367760 2515745 4025192 4735520 5031490 8050384 10062980 16100768 20125960 40251920 80503840