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1382301620 = 225717673863
BaseRepresentation
bin101001001100100…
…0011111110110100
310120100001012100022
41102121003332310
510312332122440
6345055304312
746153240610
oct12231037664
93510035308
101382301620
1164a300737
12326b1b098
131904c2b6b
14d1826340
158154acb5
hex52643fb4

1382301620 has 96 divisors (see below), whose sum is σ = 3521968128. Its totient is φ = 444874752.

The previous prime is 1382301601. The next prime is 1382301643. The reversal of 1382301620 is 261032831.

It is a self number, because there is not a number n which added to its sum of digits gives 1382301620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1601309 + ... + 1602171.

It is an arithmetic number, because the mean of its divisors is an integer number (36687168).

Almost surely, 21382301620 is an apocalyptic number.

1382301620 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 1382301620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760984064).

1382301620 is an abundant number, since it is smaller than the sum of its proper divisors (2139666508).

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

1382301620 is a wasteful number, since it uses less digits than its factorization.

1382301620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1382301620 is about 37179.3170996994. The cubic root of 1382301620 is about 1113.9548935426.

The spelling of 1382301620 in words is "one billion, three hundred eighty-two million, three hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 673 863 1190 1346 1726 2380 2692 3365 3452 4315 4711 6041 6730 8630 9422 11441 12082 13460 14671 17260 18844 22882 23555 24164 29342 30205 45764 47110 57205 58684 60410 73355 80087 94220 102697 114410 120820 146710 160174 205394 228820 293420 320348 400435 410788 513485 580799 800870 1026970 1161598 1601740 2053940 2323196 2903995 4065593 5807990 8131186 9873583 11615980 16262372 19747166 20327965 39494332 40655930 49367915 69115081 81311860 98735830 138230162 197471660 276460324 345575405 691150810 1382301620