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1873013940 = 2232574313449
BaseRepresentation
bin110111110100011…
…1110110010110100
311211112101222002200
41233220332302310
512313442421230
6505505104500
764262233020
oct15750766264
94745358080
101873013940
118812a4106
12443328130
1323b075695
1413aa81380
15ae67c160
hex6fa3ecb4

1873013940 has 144 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 427000320.

The previous prime is 1873013917. The next prime is 1873013951. The reversal of 1873013940 is 493103781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1873013895 and 1873013904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541336 + ... + 544784.

It is an arithmetic number, because the mean of its divisors is an integer number (45208800).

Almost surely, 21873013940 is an apocalyptic number.

1873013940 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 1873013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

1873013940 is an abundant number, since it is smaller than the sum of its proper divisors (4637053260).

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

1873013940 is a wasteful number, since it uses less digits than its factorization.

1873013940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1873013940 is about 43278.3310676371. The cubic root of 1873013940 is about 1232.6705015599.

The spelling of 1873013940 in words is "one billion, eight hundred seventy-three million, thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 431 630 862 1260 1293 1724 2155 2586 3017 3449 3879 4310 5172 6034 6465 6898 7758 8620 9051 10347 12068 12930 13796 15085 15516 17245 18102 19395 20694 24143 25860 27153 30170 31041 34490 36204 38790 41388 45255 48286 51735 54306 60340 62082 68980 72429 77580 90510 96572 103470 108612 120715 124164 135765 144858 155205 181020 206940 217287 241430 271530 289716 310410 362145 434574 482860 543060 620820 724290 869148 1086435 1448580 1486519 2172870 2973038 4345740 4459557 5946076 7432595 8919114 10405633 13378671 14865190 17838228 20811266 22297785 26757342 29730380 31216899 41622532 44595570 52028165 53514684 62433798 66893355 89191140 93650697 104056330 124867596 133786710 156084495 187301394 208112660 267573420 312168990 374602788 468253485 624337980 936506970 1873013940