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1928318070 = 235727731697
BaseRepresentation
bin111001011101111…
…1100110001110110
311222101110201002210
41302323330301312
512422122134240
6515202314250
765533301400
oct16273746166
94871421083
101928318070
118aa5379a8
12459958986
1324966a113
14144159b70
15b4453780
hex72efcc76

1928318070 has 96 divisors (see below), whose sum is σ = 5393690208. Its totient is φ = 439928832.

The previous prime is 1928318053. The next prime is 1928318111. The reversal of 1928318070 is 708138291.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135462 + ... + 1137158.

It is an arithmetic number, because the mean of its divisors is an integer number (56184273).

Almost surely, 21928318070 is an apocalyptic number.

1928318070 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 1928318070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696845104).

1928318070 is an abundant number, since it is smaller than the sum of its proper divisors (3465372138).

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

1928318070 is a wasteful number, since it uses less digits than its factorization.

1928318070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1928318070 is about 43912.6185737084. The cubic root of 1928318070 is about 1244.6852900454.

The spelling of 1928318070 in words is "one billion, nine hundred twenty-eight million, three hundred eighteen thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 773 1470 1546 1697 2319 3394 3865 4638 5091 5411 7730 8485 10182 10822 11595 11879 16233 16970 23190 23758 25455 27055 32466 35637 37877 50910 54110 59395 71274 75754 81165 83153 113631 118790 162330 166306 178185 189385 227262 249459 356370 378770 415765 498918 568155 831530 1136310 1247295 1311781 2494590 2623562 3935343 6558905 7870686 9182467 13117810 18364934 19676715 27547401 39353430 45912335 55094802 64277269 91824670 128554538 137737005 192831807 275474010 321386345 385663614 642772690 964159035 1928318070