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1900000920 = 2335176411453
BaseRepresentation
bin111000100111111…
…1011011010011000
311220102012001021110
41301033323122120
512342400012140
6512311340320
765040512166
oct16117733230
94812161243
101900000920
118955568a4
124503816a0
132438340cc
141404a8236
15b1c0d380
hex713fb698

1900000920 has 128 divisors (see below), whose sum is σ = 6048872640. Its totient is φ = 475791360.

The previous prime is 1900000919. The next prime is 1900000979. The reversal of 1900000920 is 290000091.

It is a happy number.

It is a Cunningham number, because it is equal to 435892-1.

It is a super-2 number, since 2×19000009202 = 7220006992001692800, which contains 22 as substring.

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, 1306914 + ... + 1308366.

Almost surely, 21900000920 is an apocalyptic number.

1900000920 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 1900000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024436320).

1900000920 is an abundant number, since it is smaller than the sum of its proper divisors (4148871720).

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

1900000920 is a wasteful number, since it uses less digits than its factorization.

1900000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1900000920 is about 43588.9999885292. Note that the first 4 decimals coincide. The cubic root of 1900000920 is about 1238.5625295384.

The spelling of 1900000920 in words is "one billion, nine hundred million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 641 680 1020 1282 1453 1923 2040 2564 2906 3205 3846 4359 5128 5812 6410 7265 7692 8718 9615 10897 11624 12820 14530 15384 17436 19230 21794 21795 24701 25640 29060 32691 34872 38460 43588 43590 49402 54485 58120 65382 74103 76920 87176 87180 98804 108970 123505 130764 148206 163455 174360 197608 217940 247010 261528 296412 326910 370515 435880 494020 592824 653820 741030 931373 988040 1307640 1482060 1862746 2794119 2964120 3725492 4656865 5588238 7450984 9313730 11176476 13970595 15833341 18627460 22352952 27941190 31666682 37254920 47500023 55882380 63333364 79166705 95000046 111764760 126666728 158333410 190000092 237500115 316666820 380000184 475000230 633333640 950000460 1900000920