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2023090880 = 26541271569
BaseRepresentation
bin111100010010101…
…1110101011000000
312012222210122221212
41320211132223000
513120402402010
6532425505252
7101063663066
oct17045365300
95188718855
102023090880
11948a89138
12485642228
132631a05c5
1415298a036
15bc924505
hex7895eac0

2023090880 has 112 divisors (see below), whose sum is σ = 4961900160. Its totient is φ = 785203200.

The previous prime is 2023090807. The next prime is 2023090913. The reversal of 2023090880 is 880903202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3555236 + ... + 3555804.

It is an arithmetic number, because the mean of its divisors is an integer number (44302680).

Almost surely, 22023090880 is an apocalyptic number.

2023090880 is a gapful number since it is divisible by the number (20) 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 2023090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480950080).

2023090880 is an abundant number, since it is smaller than the sum of its proper divisors (2938809280).

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

2023090880 is a wasteful number, since it uses less digits than its factorization.

2023090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2023090880 is about 44978.7825535552. The cubic root of 2023090880 is about 1264.7512891974.

The spelling of 2023090880 in words is "two billion, twenty-three million, ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 271 320 328 410 542 569 656 820 1084 1138 1312 1355 1640 2168 2276 2624 2710 2845 3280 4336 4552 5420 5690 6560 8672 9104 10840 11111 11380 13120 17344 18208 21680 22222 22760 23329 36416 43360 44444 45520 46658 55555 86720 88888 91040 93316 111110 116645 154199 177776 182080 186632 222220 233290 308398 355552 373264 444440 466580 616796 711104 746528 770995 888880 933160 1233592 1493056 1541990 1777760 1866320 2467184 3083980 3555520 3732640 4934368 6167960 6322159 7465280 9868736 12335920 12644318 24671840 25288636 31610795 49343680 50577272 63221590 101154544 126443180 202309088 252886360 404618176 505772720 1011545440 2023090880