Search a number
-
+
1988508240 = 2432523120079
BaseRepresentation
bin111011010000110…
…0011101001010000
312010120201200111100
41312201203221100
513033024230430
6525152344400
7100164020055
oct16641435120
95116650440
101988508240
11930508744
12475b45100
13258c827c4
1414c14702c
15b9892960
hex76863a50

1988508240 has 120 divisors (see below), whose sum is σ = 6968482560. Its totient is φ = 507209472.

The previous prime is 1988508233. The next prime is 1988508253. The reversal of 1988508240 is 428058891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43480 + ... + 76599.

It is an arithmetic number, because the mean of its divisors is an integer number (58070688).

Almost surely, 21988508240 is an apocalyptic number.

1988508240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1988508240 is an abundant number, since it is smaller than the sum of its proper divisors (4979974320).

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

1988508240 is a wasteful number, since it uses less digits than its factorization.

1988508240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120121 (or 120112 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1988508240 is about 44592.6926749215. The cubic root of 1988508240 is about 1257.5032948676.

The spelling of 1988508240 in words is "one billion, nine hundred eighty-eight million, five hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 120079 240158 360237 480316 600395 720474 960632 1080711 1200790 1440948 1801185 1921264 2161422 2401580 2761817 2881896 3602370 4322844 4803160 5403555 5523634 5763792 7204740 8285451 8645688 9606320 10807110 11047268 13809085 14409480 16570902 17291376 21614220 22094536 24856353 27618170 28818960 33141804 41427255 43228440 44189072 49712706 55236340 66283608 82854510 86456880 99425412 110472680 124281765 132567216 165709020 198850824 220945360 248563530 331418040 397701648 497127060 662836080 994254120 1988508240