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1801455930 = 2335192912109
BaseRepresentation
bin110101101100000…
…0000100100111010
311122112202102222000
41223120000210322
512142133042210
6454431241430
762433060051
oct15330004472
94575672860
101801455930
1184496955a
12423379276
132292ac971
14131375398
15a8244ac0
hex6b60093a

1801455930 has 128 divisors (see below), whose sum is σ = 5231520000. Its totient is φ = 439375104.

The previous prime is 1801455919. The next prime is 1801455937. The reversal of 1801455930 is 395541081.

It is not an unprimeable number, because it can be changed into a prime (1801455937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142716 + ... + 154824.

It is an arithmetic number, because the mean of its divisors is an integer number (40871250).

Almost surely, 21801455930 is an apocalyptic number.

1801455930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801455930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615760000).

1801455930 is an abundant number, since it is smaller than the sum of its proper divisors (3430064070).

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

1801455930 is a wasteful number, since it uses less digits than its factorization.

1801455930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1801455930 is about 42443.5617025716. The cubic root of 1801455930 is about 1216.7682833331.

The spelling of 1801455930 in words is "one billion, eight hundred one million, four hundred fifty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 12109 14877 16530 24218 24795 29754 36327 49590 60545 72654 74385 108981 121090 148770 181635 217962 230071 326943 351161 363270 460142 544905 653886 690213 702322 1053483 1089810 1150355 1380426 1634715 1755805 2070639 2106966 2300710 3160449 3269430 3451065 3511610 4141278 5267415 6211917 6320898 6672059 6902130 9481347 10353195 10534830 12423834 13344118 15802245 18962694 20016177 20706390 31059585 31604490 33360295 40032354 47406735 60048531 62119170 66720590 94813470 100080885 120097062 180145593 200161770 300242655 360291186 600485310 900727965 1801455930