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1826428680 = 2332534914537
BaseRepresentation
bin110110011011101…
…0001011100001000
311201021202012010200
41230313101130020
512220031204210
6501122412200
763155246646
oct15467213410
94637665120
101826428680
11857a7599a
1242b801060
1323151463b
141347d6196
15aa5290c0
hex6cdd1708

1826428680 has 96 divisors (see below), whose sum is σ = 5953311000. Its totient is φ = 485618688.

The previous prime is 1826428663. The next prime is 1826428687. The reversal of 1826428680 is 868246281.

It can be written as a sum of positive squares in 4 ways, for example, as 1437471396 + 388957284 = 37914^2 + 19722^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1826428687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118372 + ... + 132908.

Almost surely, 21826428680 is an apocalyptic number.

1826428680 is a gapful number since it is divisible by the number (10) 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 1826428680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976655500).

1826428680 is an abundant number, since it is smaller than the sum of its proper divisors (4126882320).

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

1826428680 is a wasteful number, since it uses less digits than its factorization.

1826428680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14903 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1826428680 is about 42736.7368899405. The cubic root of 1826428680 is about 1222.3649994576.

The spelling of 1826428680 in words is "one billion, eight hundred twenty-six million, four hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 349 360 698 1047 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 10470 12564 13960 14537 15705 20940 25128 29074 31410 41880 43611 58148 62820 72685 87222 116296 125640 130833 145370 174444 218055 261666 290740 348888 436110 523332 581480 654165 872220 1046664 1308330 1744440 2616660 5073413 5233320 10146826 15220239 20293652 25367065 30440478 40587304 45660717 50734130 60880956 76101195 91321434 101468260 121761912 152202390 182642868 202936520 228303585 304404780 365285736 456607170 608809560 913214340 1826428680