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803051040 = 253511152093
BaseRepresentation
bin101111110111011…
…001011000100000
32001222002012221010
4233313121120200
53121040113130
6211404100520
725620551451
oct5767313040
92058065833
10803051040
11382335150
121a4b34740
13ca4b083c
1478921128
154a77b0b0
hex2fdd9620

803051040 has 96 divisors (see below), whose sum is σ = 2759593536. Its totient is φ = 194677760.

The previous prime is 803051023. The next prime is 803051047. The reversal of 803051040 is 40150308.

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

It is a junction number, because it is equal to n+sod(n) for n = 803050998 and 803051016.

It is not an unprimeable number, because it can be changed into a prime (803051047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70767 + ... + 81326.

It is an arithmetic number, because the mean of its divisors is an integer number (28745766).

Almost surely, 2803051040 is an apocalyptic number.

803051040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803051040 is an abundant number, since it is smaller than the sum of its proper divisors (1956542496).

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

803051040 is a wasteful number, since it uses less digits than its factorization.

803051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152122 (or 152114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 803051040 is about 28338.1551975424. The cubic root of 803051040 is about 929.4964090542.

The spelling of 803051040 in words is "eight hundred three million, fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 152093 304186 456279 608372 760465 912558 1216744 1520930 1673023 1825116 2281395 2433488 3041860 3346046 3650232 4562790 4866976 5019069 6083720 6692092 7300464 8365115 9125580 10038138 12167440 13384184 14600928 16730230 18251160 20076276 24334880 25095345 26768368 33460460 36502320 40152552 50190690 53536736 66920920 73004640 80305104 100381380 133841840 160610208 200762760 267683680 401525520 803051040