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1890645060 = 2235107317929
BaseRepresentation
bin111000010110000…
…1111010001000100
311212202120201110010
41300230033101010
512333001120220
6511335030220
764565134503
oct16054172104
94782521403
101890645060
11890246687
1244920b370
132419097b5
1413d15083a
15b0eb11e0
hex70b0f444

1890645060 has 96 divisors (see below), whose sum is σ = 5365906560. Its totient is φ = 497348608.

The previous prime is 1890645049. The next prime is 1890645079. The reversal of 1890645060 is 605460981.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2034676 + ... + 2035604.

It is an arithmetic number, because the mean of its divisors is an integer number (55894860).

Almost surely, 21890645060 is an apocalyptic number.

1890645060 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 1890645060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682953280).

1890645060 is an abundant number, since it is smaller than the sum of its proper divisors (3475261500).

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

1890645060 is a wasteful number, since it uses less digits than its factorization.

1890645060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1890645060 is about 43481.5485004847. The cubic root of 1890645060 is about 1236.5262340645.

The spelling of 1890645060 in words is "one billion, eight hundred ninety million, six hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 317 321 428 535 634 642 929 951 1070 1268 1284 1585 1605 1858 1902 2140 2787 3170 3210 3716 3804 4645 4755 5574 6340 6420 9290 9510 11148 13935 18580 19020 27870 33919 55740 67838 99403 101757 135676 169595 198806 203514 294493 298209 339190 397612 407028 497015 508785 588986 596418 678380 883479 994030 1017570 1177972 1192836 1472465 1491045 1766958 1988060 2035140 2944930 2982090 3533916 4417395 5889860 5964180 8834790 17669580 31510751 63021502 94532253 126043004 157553755 189064506 315107510 378129012 472661265 630215020 945322530 1890645060