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1920001820 = 2251123613619
BaseRepresentation
bin111001001110000…
…1110011100011100
311221210211012100112
41302130032130130
512413010024240
6514304145152
765402513642
oct16234163434
94853735315
101920001820
118a5877870
124570081b8
13247a17a69
14142dd3192
15b385e665
hex7270e71c

1920001820 has 96 divisors (see below), whose sum is σ = 4604705280. Its totient is φ = 665660160.

The previous prime is 1920001807. The next prime is 1920001823. The reversal of 1920001820 is 281000291.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920001823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3101471 + ... + 3102089.

It is an arithmetic number, because the mean of its divisors is an integer number (47965680).

Almost surely, 21920001820 is an apocalyptic number.

1920001820 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 1920001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302352640).

1920001820 is an abundant number, since it is smaller than the sum of its proper divisors (2684703460).

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

1920001820 is a wasteful number, since it uses less digits than its factorization.

1920001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1920001820 is about 43817.8253682220. The cubic root of 1920001820 is about 1242.8933951011.

The spelling of 1920001820 in words is "one billion, nine hundred twenty million, one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 613 619 1012 1226 1238 1265 2452 2476 2530 3065 3095 5060 6130 6190 6743 6809 12260 12380 13486 13618 14099 14237 26972 27236 28198 28474 33715 34045 56396 56948 67430 68090 70495 71185 134860 136180 140990 142370 155089 156607 281980 284740 310178 313214 379447 620356 626428 758894 775445 783035 1517788 1550890 1566070 1897235 3101780 3132140 3794470 4173917 7588940 8347834 8727281 16695668 17454562 20869585 34909124 41739170 43636405 83478340 87272810 96000091 174545620 192000182 384000364 480000455 960000910 1920001820