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801146640 = 243573115383
BaseRepresentation
bin101111110000001…
…000011100010000
32001211111110120210
4233300020130100
53120043143030
6211255204120
725565430330
oct5760103420
92054443523
10801146640
11381254368
121a4376640
13c9c94a88
14785870c0
154a501bb0
hex2fc08710

801146640 has 160 divisors (see below), whose sum is σ = 2930098176. Its totient is φ = 177200640.

The previous prime is 801146639. The next prime is 801146651. The reversal of 801146640 is 46641108.

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 = 801146598 and 801146607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44389 + ... + 59771.

Almost surely, 2801146640 is an apocalyptic number.

801146640 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 801146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465049088).

801146640 is an abundant number, since it is smaller than the sum of its proper divisors (2128951536).

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

801146640 is a wasteful number, since it uses less digits than its factorization.

801146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 801146640 is about 28304.5339124318. The cubic root of 801146640 is about 928.7610742774.

Adding to 801146640 its reverse (46641108), we get a palindrome (847787748).

The spelling of 801146640 in words is "eight hundred one million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 15383 17360 26040 30766 46149 52080 61532 76915 92298 107681 123064 153830 184596 215362 230745 246128 307660 323043 369192 430724 461490 476873 538405 615320 646086 738384 861448 922980 953746 1076810 1230640 1292172 1430619 1615215 1722896 1845960 1907492 2153620 2384365 2584344 2861238 3230430 3338111 3691920 3814984 4307240 4768730 5168688 5722476 6460860 6676222 7153095 7629968 8614480 9537460 10014333 11444952 12921720 13352444 14306190 16690555 19074920 20028666 22889904 25843440 26704888 28612380 33381110 38149840 40057332 50071665 53409776 57224760 66762220 80114664 100143330 114449520 133524440 160229328 200286660 267048880 400573320 801146640