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2152827240 = 2335313715641
BaseRepresentation
bin1000000001010001…
…1000100101101000
312120000220221210020
42000110120211220
513402110432430
6553342320440
7104230505154
oct20024304550
95500827706
102152827240
11a0523aa73
12500b89120
13284026095
14165cbc064
15c8eeeb10
hex80518968

2152827240 has 128 divisors (see below), whose sum is σ = 6847441920. Its totient is φ = 540518400.

The previous prime is 2152827199. The next prime is 2152827241. The reversal of 2152827240 is 427282512.

It is not an unprimeable number, because it can be changed into a prime (2152827241) 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, 129820 + ... + 145460.

It is an arithmetic number, because the mean of its divisors is an integer number (53495640).

Almost surely, 22152827240 is an apocalyptic number.

2152827240 is a gapful number since it is divisible by the number (20) 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 2152827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423720960).

2152827240 is an abundant number, since it is smaller than the sum of its proper divisors (4694614680).

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

2152827240 is a wasteful number, since it uses less digits than its factorization.

2152827240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 2152827240 is about 46398.5693744969. The cubic root of 2152827240 is about 1291.2283714355.

The spelling of 2152827240 in words is "two billion, one hundred fifty-two million, eight hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 620 740 744 888 930 1110 1147 1240 1480 1860 2220 2294 3441 3720 4440 4588 5735 6882 9176 11470 13764 15641 17205 22940 27528 31282 34410 45880 46923 62564 68820 78205 93846 125128 137640 156410 187692 234615 312820 375384 469230 484871 578717 625640 938460 969742 1157434 1454613 1736151 1876920 1939484 2314868 2424355 2893585 2909226 3472302 3878968 4629736 4848710 5787170 5818452 6944604 7273065 8680755 9697420 11574340 11636904 13889208 14546130 17361510 17940227 19394840 23148680 29092260 34723020 35880454 53820681 58184520 69446040 71760908 89701135 107641362 143521816 179402270 215282724 269103405 358804540 430565448 538206810 717609080 1076413620 2152827240